# Math - Functions

139,772 results

### Math

There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the summetry of: A) a product of 2 odd functions ( in ...

### Math

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning.

### Math

Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With the functions: f(x...

### Calculus

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...

### Functions in Math

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.

### Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions a) f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

### Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

### advanced functions/precalculus

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...

### Calculus

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and ...

### math test

Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function ...

### Calculus

Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x If f = {(-2...

### Math

use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g X f)^-1 Would the answer be x+1 over 2?

### Math - Functions

For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?

### Math - Functions

Is it possible to graph linear functions like h(x) = 3x + 7 without doing a table of values? If it is, how? And I know the slope is 7, which means the y-intercept is (0,7).

### Math

Use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g x f)^-1

### math

for the given functions f and g, find the specified value of the following functions and state their domains: f(x)=x-5; g(x)=2x^2 a.(f+g)(3)= b.(f/g)(3)= Can someone help me figure this out? pleeeease????

### Math

Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.

### Algebra

Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.

### Composite Functions

Find the composite functions for the given functions. (6 marks) f(x) = 4x + 1 and g(x) = x2 f(x) = sin x and g(x) = x2 - x + 1 f(x) = 10x and g(x) = log x

### Algebra

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the ...

### Math Grade 12 Advance Functions

I need help understanding equivalent trigonometric functions! Can someone PLEASE help me because the test is tommorrow and the internet or my textbook isn't helping at all!

### math

for the given functions f and g, find the specified value of the following functions and state the domain of each one. f(x)=2+3/x; g(x)=3/x a.(f-g)(2)= b.(f/g)(3)= how do I do this? I need help! it throws me off because of it being in fraction form.

### exponential functions in math

my daughter needs some help studying for a unit test using exponential functions in math

### Check my CALCULUS answers please!

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...

### statistics

A mini-computer system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability ...

### algebra functions

construct two composite functions, Evaluate each composite function for x=2. i do not fully understand functions yet can someone explain and show me what to do step by step f(x)=x+1 g(x)=x-2

### Math

How to write a math story that includes 4 examples... Possible math topics include: introduction to functions investigating quadratics quadratics highs & lows exponential functions fiancial applications of exponential function acute triangle trigonometry I'm taken MCF3M math ...

### Math

Can anyone tell me if these functions are odd, even, or neither. Also, what is the domain, range, x-intercept, and y-intercept of these functions? 1. f(x) = x^2 - 3x + 6 2. f(x) = cubicroot(x)

### math

consider the functions f(x)=2x-8 and g(x)=x/2+4 (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? Simplify your answer

### Math - Inverse Functions

Find the inverses of the following functions. y = 3(x - 1)^2, x >= 1 Work: x = 3(y - 1)^2 x = 3(y - 1)(y - 1) x = 3(y^2 - y - y + 1) x = 3y^2 - 6y + 3 And now what do I do!? Please explain and show me how to solve this inverse function! ... Thank you

### Math (Grade 12)

I need help with this problem (composite functions): If f(x) = 4x-3 and h(x )= 4x^2-21, find a function g such that f(g(x)) = h. I don't understand how we're supposed to combine the functions. Oh, and the answer is supposed to be g(x) = x^2 - (9/2). Thanks!

### math

consider the functions f(x)=x^3-2 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin!

### math

let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ¨’ g by (f ¨’ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−...

### Math advance functions gr 12

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

### Pre-Calculus

Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this? My teacher just did this f(x) = x^2 g(x) 3x+9 ^I don't really understand h(x)=(x+5)(x-3) how would I do this one? If h(x...

### math-advanced functions

on my exam review, i have this question for composition of functions Given f(x)=3x^2+x-1, g(x)=2cos(x), determine the values of x when f(g(x))=1 for 0≤x≤2π.

### Math

Has anyone taken the colorado connections academy Unit 13: Functions Test Unit 5: Functions, within the past day? I need someone to check my answers

### Math

1) Find three functions with unlimited domains and ranges. 2) Find two functions with restricted domains. 3) Find two functions with restricted ranges. Im confused as to how I can find the answer for these question, can you please explain along the steps.

### math and desperate

What similarities and differences are there between functions and linear equations? Are all linear equations functions? Is their an instance when a linear equation is not a function support your answer. Im not good at math please help.

### Math

What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a function for your classmates to graph. Consider ...

### Math

What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a function for your classmates to graph. Consider ...

### Math

Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please

### science

does the liver have exocrine and endocrine functions? if so, what the functions? I don't think the liver has both exocrine and endocrine functions. I could be wrong. Someone kindly explain?

### functions

For each problem, construct two composite functions, . Evaluate each composite function for x=2 ok i have not dealt with composite functions can I please get some help with this as I have 20 questions to do can someone show me step by step on how to properly solve this ...

### Math - Periodics

How do you prove algebraically whether the following is periodic? f(x) = 3cos3x + 5sin4x The sum of two periodic functions is always periodic. In your case, note than when x is a multiple of 2 pi, both functions repeat the values of x = 0.

### MATH _ GRAPHING RATIONAL FUNCTIONS

When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?

### math

what does linear an nonlinear functions mean? I need help asap please i am begging you because i am a new student at this school and i don't get what the difference is between linear and nonlinear functions.

### math

functions f(x)=rad. x-9 write the intervals of the functions. How do I put the set of numbers in the form of intervals such as infinity. I solved it and got the answer as this: x < or = 9 (infinity,9] Please help me, I am stuck.

### cjs/210

Will someone please help me find a website to answer the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions and roles of...

### Computer programming

Functions and procedures are used all the time in Modular programming. Can functions replace procedures? what are the advantages of using functions over procedures? Are there any advantages to using procedures over functions?

### math

which statement about linear functions are true A)linear functions grow by equal factors over equal intervals B)linear functions grow by equal differences over equal intervals C)linear functions grow by equal differences over unequal intervals D)linear functions grow by ...

### math- periodic

How do you prove algebraically whether the following is periodic? f(x) = 3cos3x + 5sin4x The sum of two periodic functions is always periodic. In your case, note than when x is a multiple of 2 pi, both functions repeat the values of x = 0.

### Math

For each pair of functions give a characteristic that the two functions have in common and a characteristic that distinguishes them. a) f(x)=1/x and g(x)=sinx b) f(x)=x and g(x)=[x] c) f(x)=2^x and g(x)=sinx

### Domains of Functions

I don't understand how to do this problem, can you please help me? Given the functions f and g, determine the domain of f+g. 4. f(x)= 2x/(x-3) g(x)=3/(x+6)

### Algebra 2

for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?

### science

what functions do individual cells perform that are similar to the functions of our bodies?

### science

what functions do individual cells perform that are similar to the functions of our bodies?

### advance functions gr12 HELP ASAP

using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you

### advance functions gr12 HELP ASAP

Using rational functions solve 7+ (1)/x = 1/(x-2) thank you

### Science PLEASE HELP

what functions do individual cells perform that are similar to the functions of our bodies?

### calculus

for trigonometric functions and rhythmic functions questions, how do you know when to use either f(t)=A sin (w(t-a)) or f(t) = A cos ( w(t-a)) ?

### Advanced Functions

Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9

### advance functions gr12 (SORRY LAST ONE HAD A TYPO)

Using rational functions solve 7+ (1)/x = 1/(x-2)

### Algebra

How does gravity relate to functions, specifically to s(t)= -1/2 gt^2 + vt + h. Provide a brief history of the projectile and its use in functions.

### Science

How are the functions of a human cell different to the functions of a computer?

### advance functions gr12

Using rational functions solve (7+ 1)/x = 1/(x-2)

### Math Functions

Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y=3 . Investigate whether other exponential functions have the same properties. Use the transformations to explain your observations.

### linear algebra

Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−&#...

### algebra

Below are the functions of y=|x| and y=|x|-5. how are the functions related? A. the functions have the same shape. the y-intercept of y=|x| is 0 and the y-intercept of the second function is 5 B. the functions have the same y-intercept. the second function is steeper than y=|x...

### calculus

give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

### calculus

give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

### Medical Seekers

Health Care providers use computers to perform many functions. Identify at least 4 of those functions!

### Solving trig functions! urgent please help!

1.2sinxtanx + tanx-2sinx-1=0 2.6tan^2x-4sin^2x=1 Both functions is for 0<x<2pi thank you!

### cjs/210

Will someone please help me find a website to find the answer to the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions ...

### math

how to you find a composite function form of y in this problem? y = 1/[(x^2+3x-5)^3] I don't understand your question. Composite functions require two functions. You listed one. Please amplify. That's what I thought at first. But I am thinking I might need to substitute y in ...

### Functions

I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2-x+1. I'm confused about this and would really appreciate some help. Thanks.

### Functions

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Functions

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Math

So for these simplified functions would they be equivalent to these functions: Is -3x^2-13x-13 equivalent to f(x)=-3(x+2)^2 Is [(x-2)(x+1)]/[3x+1)(x+1] equivalent to f(x)=(x^2-x-2)/(3x^2+4x+1)

### math

The weekly demand and supply functions for Sportsman 5 X 7 tents are given by the following respective functions where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity. Find the equilibrium price.

### Math

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?

### Algebra 2 Functions

Use these functions: f(x)=3x-2 g(x)=2 h(x)=4x 1. What is f(g(x))? 2. What is g(18)? 3. Find h(5).

### functions

pls. explain transformations on functions..

### Algebra

below are the functions of Y=|x| and y=|x| -9 how are the functions related

### Functions

consider the functions g(x)=(4-x^2)^0.5 and h(x)=(x^2)-5. find the composite functions hog(x) and goh(x), if they exist, and state the domain and range of the composite functions. ------------------------------ ok, i have figured out that hog(x)=-1-X^2, but in my answer ...

### Consider the functions

Consider the functions f(x)= 5x+4/x+3(This is a fraction) and g(x)= 3x-4/5-x(This is a fraction) a)Find f(g(x)) b)Find g(f(x)) c)Determine whether the functions f and g are inverses of each other.

### Math

Decide if the following pair of functions are of the same order. The functions f(x) and g(x) are of the same order if f(x) is O(g(x)) and f(x) is Ω(g(x). (a) f(x) = x^2 - 7 and g(x) = x^2 + 7

### calculus

when working with composite functions, does fog=gof? how do i create two functions,f(x) and g(x) to show that this statement is either true or false.i need to explain my reasoning

### Math

Analyzing Quadratic Functions describe how the graphs of the following functions relate to the graph of y=x^2. Could someone please tell me what that means? I sort of understand it, but I want to get it perfectly straight. y = (x+5)^2 Since it's in the brackets, that would ...

### 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...

### FUNCTIONS HELPPPPP????

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) I do not know how does everyone get this answer g(x) = f2(x)-...

### Algebra

Right now we are learning about functions, relations, etc. and I am kind of confused. Here is what I have to answer: Determine whether each of the following is a function. Identify any relations that are not functions. Domain A set of avenues Correspondence An intersecting ...

### math-calculus

i did this question long time ago and i realize today that at back of book answer be different. write the following absolute value functions as piecewise functions. g(x) = |x+1| positive be x+1 negative be -(x+1) but in back of book it says negative one be -x-1 if x is less ...

### Algebra 2

Which statements represent the relationship between y=2x and y=log2x ? Select each correct answer. The equation y=log2x is the logarithmic form of y=2x . <my choice The graphs of the functions are symmetric to each other over the line y = x. The graphs of the...

### math

Graph x = y^2-6y+11 a. In function mode using two functions b. In parametric mode I already figured out how to graph it in functions, which is +/-sqrt(x-2)+3. The graph is a sideways parabola in the first quadrant. I have no idea on how to come up with parametric equations for...

### Math

Redo problem 13 from section 1.8 of your textbook (page 62), but use the functions in the questions below rather than the functions in your textbook: (a) In order to express the function y = 1311 x − 4, as a composition of two functions the outer of which is an ...

### composite functions

f(x)=2x-4, g(x)=x squared + 5x What is F o G and Domain Okay, we are given f and g as functions of x. To compose a function means to use one function, g in this case, as the argument of the other, f in this case. Thus we want f o g = f(g(x)) With f(x) = 2x-4 and g(x) = x^2 + ...

### Math (repost)

Graph x = y^2-6y+11 a. In function mode using two functions b. In parametric mode I already figured out how to graph it in functions, which is +/-sqrt(x-2)+3. The graph is a sideways parabola in the first quadrant opening to the right. I have no idea on how to come up with ...

### math. can someone do this for me please....

* Consider the functions f(x)=1/x +4 and g(x)=2/x. Graph f and g on the same grid. a)Determine the points of intersection of the two functions. b)Show where f(x)<g(x). c)Solve the equation 1/x +4=2/x to check your answer to part a). d)Solve the inequality 1/x +4<2/x to ...