# The function h is is defined below. h(x)=48x^2+ 12x - 16 Find all values of x that are NOT in the domain of h. If there is more than one value, separate them with commas. I'm lost.

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### Algebra

The function h is is defined below. h(x)=48x^2+ 12x - 16 Find all values of x that are NOT in the domain of h. If there is more than one value, separate them with commas. I'm lost.

### Algebra

The function g is defined below. g(x)=((x)^(2)-9x+14)/((x)^2-11x+24) Find all values of x that are NOT in the domain of g. If there is more than one value, separate them with commas.

### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù-28©ø-48x©÷-8x+7 if more than one zero, separate with commas. Write exact values, not decimal ...

### domain

Find the domains of f and f' 1, f(x) = xe^x 2. f(x) = x^(3/5) 3. f(x) = x/(x-2) TIA 1) R 2) It's the interfal from zero to infinity for f but for f' it is this inteval with zero excluded, because unlike f, f' is singular at zero. 3) Here only the point 2 has to be excluded ...

### Calc AB

Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a function. So, in some cases you must restrict the domain of f(x) so that it's one-to-one. There might be more than one section of domain that's one-to-one. ...

### math 116

What is the difference between domain and range? The domain of a function is the set of all values for the independent variable (in the following example, that's the x) for which the function is defined. That is, if you have a function such as f(x) = 1/x Then this function is ...

### domain

How do you find the domain of log(x^2-4)? and how about this one? e^(3x+4)? Please help me! Well kristie, you might recognize log(x^2-4) = log((x-2)(x+2)) and then use a property of logs to see it as a sum, i.e., log(ab)=log(a)+log(b). You are then expected to know that the ...

### Algebra 1

algebra questions I don’t need any of the open a textbook answers. I have worked hard to get my algebra done but these last units have turned my mind into mush. I don’t just want answers I need an explanation. Any help would be wonderful Thank you 2) what is the equation ...

### Calculus - Functions?

#1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of a and b #2. Let h be a function defined for all...

### college algebra

1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=? What is the domain? b. (f/g)(x)=? what is the domain? 2.the function f is defined as follows {x+6 if -5 ¡Üx<1 f(x)={9 if x=1 {-x+4 if x>1 a. ...

### Calculus

Can someone help me finish this question... I got most of the answers but need help. Suppose that f(x)=3x−6x+5. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined...

### Algebra plz help

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether the following relation ...

### Algebra

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether the following relation ...

### Function Notation

Ive been shown that a function can be written like so f:X->Y,f(x)=rule where X is the Domain and Y, the co-domain. Firstly, what is the co-domain? Ive tried looking it up but all I get is "the set of which y values fall in". If that is the case, say for the function, y=1/(x...

### algebra

2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is

### Algebra

Find all values of t such that [t] =2t+3. If you find more than one value, then list the values you find in increasing order, separated by commas. The brackets represent the floor sign function.

### Calculus Please Check my answers

f is a function that is differentiable for all reals. The value of f ′(x) is given for several values of x in the table below. The table: x -8,-3,0,3,8 f'(x)-4,-2,0,4,5 If f ′(x) is always increasing, which statement about f(x) must be true? f(x) passes through the origin ...

### Calculus HELP!!!

Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from -4 to x f(t)dt. For each of g(-1), g'(-1), and g''(-1), find the value of state that it does not exist. 2. For ...

### Calculus

A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point of inflection at x= -2...

### Calculus

A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point of inflection at x= -2...

### Algebra Check

What is the domain of the function below? ((0,2),(3,1) (5,2) (8,4)) a. (1,2,4) b. (0,3,5,8)** c. (0,1,2,3,4,5,8) d. ((0,2),(3,1) (5,2) (8,4)) Is the following relation a function? ((0.3,0.6), (0.4,0.8), (0.3,0.7), (0.5,0.5)) a. yes b. no** c. cannot be determined What is the ...

### Algebra

Ok I got another one I can figure out The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated.

### calc 2

(last one) ... Let f(t) be a function defined for all values of t. The Laplace Transform of f(t) is defined by: F(s)= ç[∘,‡](e^-st(f(t))dt). If the improper integral exists, Find the Laplace Transform for f(t)= sinhat

### pre calculus

Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a headache. HELP!

### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. Write exact values, not decimal ...

### Need Help!! Algebra

I am having trouble in this class and need help with this question.. What similarities and differences do you see between functions and linear equations studied Are all linear equations functions? Is there an instance in which a linear equation is not a function? (I understand...

### calculus

2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] . a. Find the absolute maximum and minimum values of f(x) b. Find the intervals on which f is increasing. c. Find the x-coordinate of each point of inflection of the graph of f.

### calculus

2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] . a. Find the absolute maximum and minimum values of f(x) b. Find the intervals on which f is increasing. c. Find the x-coordinate of each point of inflection of the graph of f.

### Algebra2

Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1. f(x) = 2x^2 2. f(x) = x^...

### College Algebra

Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6

### Calculus - another question

"Find the absolute minimum value of the function f(x) = x ln(x)". I know that one of the critical values is 1 (domain restriction). Am I right? So I did the derivative, and got 1+ ln(x), but I cannot figure out the critical values, because ln(x) can't equal -1... Am I doing ...

### Algebra

I've learned that the difference between domain and range is.....domain is the set of possible X values and range is the set of possible Y values. also, a domain is the values that a function maps "from" and the range is the values that a function maps "to" I am having ...

### algebra

a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.

### algebra

a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.

### precalculus

Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4

### math/calculus

f(x)= the absolute value of x^2-6x-7 a) Find a piecewise defined function that has no absolute value involved b) Let g(x)=f(x) for x is greater than or equal to 7 find an expression of g^-1(x) c. give the domain and range of g^-1(x)

### Algebra 1-- Please, check my answers!

1. What is ((-12x^6 + x)) / ((-4x^2))? A: 3x^4 - 1/4x 2. What is the greatest common factor of the terms of the polynomial 6x^3 - 18x^2 + 12x + 3? A: 3? 3. Which is a solution to n/n+2 = -8/n? a. -4 b. -2 c. 2 d. 4 A: a? 4. Which of the following is equivalent to ((2x^5y^2)/(...

### algebra

(48x^6)/(48x^6/12x^2-12y^2)/(4x^5)/(3xy+3y^2)

### math

Consider the function defined as f(x)=(x^2+2x+3)^2+4. As x ranges over all real values, what is the minimum value of f(x)?

### algebra please help!

I need help understanding how to do these problems. Thanks! 1) Find the value(s) that would be left out of the range of f. If there is more than one value separate them by commas. Leave fractional answers in fraction form. If there are no values left out of the range respond ...

### Math

The function f(x)=(x-5)^2+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. a. restricted domain: x>or=5; f^-1(x)=5-sqrt(x-2) b. restricted domain: x>or=5; f^-1(x)=5+sqrt(x-2) c. restricted domain: x<...

### algebra

I need help understanding how to do these problems. Thanks! 1) Find the value(s) that would be left out of the range of f. If there is more than one value separate them by commas. Leave fractional answers in fraction form. If there are no values left out of the range respond ...

### Math

let f(x)= x+3/x-11 and let the domain of the function be the set of all intergres except 11. Find the function values f(9)=

### Calculus

Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if so give the value of the limit. c) write the ...

### math

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2) with x ≠ 2. Find all values of x where the graph of g has a critical value. For each critical value, state whether the graph of g ...

### Last questions Ms. Sue please for math

1. To which subset(s) does the number √42 belong? Rational numbers Irrational numbers Whole numbers, integers, rational numbers While numbers, natural numbers, integers 2. Evaluate the following expression for the values given. P/s + r^2q ( p = 60, q = 6, r = 5, s = 4) ...

### algebra

24x^4-12x^3+48x^2/-4x 24x^4-12x^3+12(-1) 24x^4-12x^3+(-12x) 2x^4-12x^3-12x check this problem for me please

### Calc

Given function f defined by f(x) = ( 1- x)³. What are all values of c, in the closed interval [0,3], that satisfy the conditions of the Mean Value Theorem?

### calculus

i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x^3)^2 i got the answer from a site but the problem is i cannot get my work to match up with the answer, i don't know what im doing wrong. answer: 10x^9 + 36x^8 − 64x^7 − 182x^6 + 168x^5 + 80x^4 + ...

### Precalculus

The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function is f(x) is used as the...

### math

The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function is f(x) is used as the...

### Calculus help

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(5x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h'(1). x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g '(x) 1 5 4 3 2 0

### Calculus

I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function? (more preferably range...I'm okay but shaky on domain) Ex: f(x)=1/(x^2) Also, how do you write the domain and range with notation? Like when you use ...

### Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for an inverse function ...

### Maths

Let f be the function defined as f(x)=x2 in the domain [−7,+7]. The range of f(x) is [a,b]. What is the value of a+b?

### Maths

Let f be the function defined as f(x)=x^2 in the domain [−7,+7]. The range of f(x) is [a,b]. What is the value of a+b?

### Math

Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.

### calculus

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. Find all values of x where the graph of g has a critical value. For each critical value, state whether the graph of g has a local ...

### Functions - math

The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and b ii) Find the greatest possible value of q...

### Calculus

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g '(x) 1 5 4 3 2 0

### AP CALC. AB

1.Locate the discontinuity of the function y=1/(1+sin x) 2.Suppose that f is a continuous function defined for all real numbers x and f(-5)=3 and f(-1)=-2 . If f(x) = 0 for one and only one value of x, then which of the following could be x?

### Math

Find all values of c such that 3^(2c+1)=28*(3^c)-9. If you find more than one value of c, then list your values in increaing order, separated by commas.

### Pre Calculas

Im really struggling and need help with this 1. One of the tables below contains (x,y) values that were generated by a linear function. Determine which table, and then write the equation of the linear function represented by the Table #1 x 2 5 8 11 14 17 20 y 1 3 7 13 21 31 43...

### Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

### Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

### Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

### Math

16) Consider the function f(x)=2x3−6x2−90x+5 on the interval [−6,7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (−6,7) such that f′(c) is ...

### Simpson's rule

Is the simpson's rule always more accurate than the midpoint rule and trapezoidal rule? Not always; it is possible that the midpoint and/or trapezoidal rule determine exact values. 1. Some functions values for a function f are given below. x 0 0.5 1.0 f(x) 3 4 11 What is the ...

### Calc2

Let f(t) be a function defined for all values of t. The Laplace Transform of f(t) is defined by: F(s)= ç[∘,‡](e^-st(f(t))dt). If the improper integral exists, Find the Laplace Transform for F(t)=t^2.

### algebra

Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive integers no it is not a ...

### Math

A quadratic function is defined by f(x)=-3.7x^2+6.8x+4.2. A linear function is defined by g(x)=-0.5x+k. Determine the value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth

### Calculous

let f be the function defined by |x-1|+2 for X<1 f(x)= ax^2-Bx, for X>or equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? justify your answer b)describe all the values of a and b for which f is a continious function c) For what values ...

### AP Calculous

let f be the function defined by |x-1|+2 for X<1 f(x)= ax^2-Bx, for X>or equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? justify your answer b)describe all the values of a and b for which f is a continious function c) For what values ...

### For the function defined by...HELP

For the function defined by f(x)=3x^2+5x+2, find the following values. (a) f(-4)= (b) f(-x)= (c) -f(x)= (d) f(x+h)=

### calc

one more question!! what values of c deos the polynomial f(x) = x^4 + cx^3 + x^2 have two inflection points? one inflection point? At the inflection point, the slope of the curve is zero. Find the dervative of f(x) and set it equal to zero. For certain values of c, there will ...

### Clueless in calculus

Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)

### Algebra

The function 5x^2+2x-1's domain is all real numbers, according to the answer key. However, I don't know how to factor this to prove it. Could you show me? The function the sq. root of y-10 has a domain of all numbers so that y is greater than or equal to zero. But I don't see ...

### Algebra2

Complete parts a – c for each quadratic function. a. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1. f(x) = 2x2 2. f(x) = x2...

### college algebra

graph the following function using transformations, be sure to graph all of the stages on one grph, state the domain and range y= x^2 +12x

### Calculus

Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)

### calculus

Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)

### Calculous

the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x<or equal to 3 a)for what values of x in the domain does f have a relative max and amin? justify b) for what values of x is the ...

### Algebra

Find the product: -6x(-8x^2+x+5) A)-14x^3-5x^2-x B)48x^3+x+5 C)48x^3-6x^2-30x D)48x^2-6x-30

### math

Find the domain and range of the function f(x)=x^2-12x+2

### mathematics

for all values of X for which of the following is defined, find th value of cot^2(X)- csc^2(X)

### math

How do I know that x^2-7=y is a function? thanks you know its a function because its a parabola (x^2) parabolas are functions because there is only one x value per y value. So I know it is a function because it has (x^2)? Is that the rule? If it has x^2, it's a function and if...

### Calculus

The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + 2) on the open interval (-3,3). 1. Determine the x-coordinate of the absolute minimum of f(x) in the open interval (-3,3). Justify your answer. 2. Find all values of x for which f(x) is concave down. Justify ...

### math

The rectangle given has a perimeter of 14 units. Find the value(s) of x by factoring a quadriatic equation. one side= 12/(x+1) other side= 6/(4-x) Remember that the perimeter of a rectangle is: P = 2L + 2W Note: P = perimeter, L = length, and W = width. Therefore: 14 = 2[12/(x...

### Clueless in calculus

The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5<or=x<or=-3)and (x+7 for -3<or=x<or=5) D) ...

### math

24x^4-12x^3+48x^2/-4x=6x^3+3x^2+12x check this for me.

### math

the function f is defined as the follows f(x)={x+6 if -5 less than or equal to x < 1 {9 if x = 1 {-x+5 if x > 1 a. find the domain of the function f is? b. locate any intercepts; if any please show work

### college algebra

graph the following function using transformations, be sure to graph all of the stages one graph, state the domain and the range y=x^2+12x

### Calc

The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5<or=x<or=-3)and (x+7 for -3<or=x<or=5) D) ...

### Math

The functions of f(x), g(x), and h(x) are defined below: f(x) = -2x g(x) = 2x + 5 h(x) = x^2 + 3x - 10 Calculate the indicated function values. 1. f(a+b) 2. f(g(x))

### math grade 11

A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

### math grade 11

A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola

### Calc

Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all relative min pts? Find the intervals of which F is concave down? Sketch a graph of F

### calculus

Consider the function f(x) = 1/x on the interval [ 4 , 11 ]. (A) Find the average or mean slope of the function on this interval. Average Slope =_______ (B) By the Mean Value Theorem, we know there exists a c in the open interval ( 4 , 11 ) such that f'( c) is equal to this ...

### Calculus

The function defined below satisfies the Mean Value Theorem on the given interval. Find the value of c in the interval (1, 2) where f'(c)=(f(b) - f(a))/(b - a). f(x) = 1.5x-1 + 1.1 , [1, 2] Round your answer to two decimal places.