# How do I find the domain of the function. P(x)=x©÷ - 2x +9 What is the domain of p X ¡Á 0 X > 0 X ¡Á 9

93,365 results

1. ### 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. ...
2. ### 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
3. ### Algebra

Given the following function rules and domains, find the associated ranges. (a) f(x) = 2x +3, Domain = {0, 1, 2} (b) f(x) = 0, Domain = {0, 1, 2} (c) f(x) = 2x + x2, Domain = {1, 0, 2}
4. ### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] 3. domain: (-oo, oo) range: (-oo, 0) 4. ...
5. ### Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure about.
6. ### Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure about.
7. ### 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<...
8. ### Math

The above function is given: f(x)= sqrt of (2x-6)/(x-8) - Sarah describes the domain as [3, ∞). - Describe why her domain is incorrect. - Provide the correct domain for the function. (I sort of understand this).
9. ### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, -2, -3, 6} range: {-2, -1, 0, 1, 3} c. not a...
10. ### Pre-Calc

Suppose that f has a domain of A and g has a domain of B. (a). What is the domain of f + g? (b). What is the domain of fg? (c). What is the domain of f/g? Is there a mathematical rule or theorem for this type of question?
11. ### Math

The domain of g(x) is -1< x < 9 What is the domain of g(x - 4) I know the Domain: ?< x <? i know the graph shifts left by four. But I do not remember how to find the domain to be honest.
12. ### 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 ...
13. ### College Algebra

Consider the function f(x)=4 - x^2 for the domain [ 0,∞). Find f^−1 (x), where f^−1 is the inverse of f. Also state the domain of f^−1 in interval notation. f^-1 (x) = ___ for the domain ___
14. ### math

questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x-2)) andd. 2. Let f(x)= (absvalue(x))/x. Show that f(x)={ 1, x > 0 {-1, x < 0 Find the domain and range of f(x).
15. ### 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 ...
16. ### Small Group Communication

Regulating participation, climate making, and maintaining mutual respect are all part of the ___________. task domain, interpersonal domain, procedural domain, work domain, or life skills domain. I believe this is the life skills domain.
17. ### math (2nd Try)

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain: 1<s<6 Range: 24&...
18. ### Calculus

Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is continuous at every number in its domain. C) ...
19. ### Math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain: 1<s<6 Range: 24&...
20. ### precalculus check immediately

suppoe f is a function with domain [1,3]and range[2,5]? define functions g and h by g(x)=3f(x)and h(x)=f(4x) what is domain and range of g what is domain and range of h I solved it and got it like this domainof g=[1,3]and range of g=[3,9] Domain of h=[4,12] and range of h=[2,5...
21. ### Algebra 2

A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain? A-domain includes positive integers B- domain includes positive numbers C-domain includes all real numbers D- domain includes integers. I am not sure...
22. ### Algebra

Could you please check my answers and help me with one? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (This one I don't understand how to find the domain)
23. ### math

find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. domain of fog is {x/?} b. the domain of fog is all real numbers
24. ### Function Domain

Giving your answer in interval notation, find the domain of the function sqrt(((x+4)(x−4))/((x−7)(x−5)))
25. ### Algebra

Find the domain of each square root function. Then use the domain to match the radical function with it’s graph. The graphs are labeled (a) through (f) and are shown in [-10,10,1] by [-10,10,1] viewing rectangles. f(x)=~(8-2x) a) b) c) d) e) f)
26. ### algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the domain that could be...
27. ### calculus

given the following piecewise function x+11 for -9<=x<-3 y= { 2 for -3<=x<=2 2x-6 for 2<x<=5 a. find the domain b. find the range c. find the intercepts d. is f continuos on its domain. If not, state where f is discontinious e. graph the function This symbol...
28. ### alg 1

Quadratic graphs and their properties: Identify the domain and range of each function: y = 4x^2 - 3 I have no idea how to find the range and domain. Would you please explain in detail how I can determine the domain and range in the quadratic problems?
29. ### Math (Domain and range)

Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation? I believe the domain is (-infinity,infinity) but how would I find the range?
30. ### math

determine the domain of the function y=log(subscript/little x)(8-x) so x^y = 8-x how do I find the domain?
31. ### Math

Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.
32. ### aLGEBRA

Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.
33. ### Algebra 1a

Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.
34. ### Algebra

Could you please help in finding the domain? Thanxs! Find the domain of the function. g(x)= 3x/(x^2 -49)

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So the domain is x cannot be 8 or -6. Am I correct?

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So domain is x cannot be 8 or -6. Am I correct?
37. ### algebra

f(x)=v^2+13/v^2-4v-32 Find all numbers that are not in the domain of the function. Then give the domain in set notation.
38. ### Algebra (Last Question)

I have - to graph each relation - decide if it is a function - state the domain and the range. 1) {(2,3),(4,-3),(5,1),(-1,3)} how would I decide if something is a function in general? I kind of remember the domain and the range,but since I did this 2 years ago I forgot. Is the...

Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function
40. ### math

For the given functions f & g find the following and state the domain of each result. f(x)square root x;g(x)=5x-1 a.(f*g)(x)= What is the domain of f*g? b. (f/g)(x)= What is the domain of f/g?
41. ### College Algebra

For the given functions f and g, find the following and state the domain of each result. f(x)=√x;g(x)=7x-2 (a)(f*g)(x)= What is the domain of f*g? (b) (f/g)(x)= What is the domain of f/g?
42. ### Algebra

13. Find the domain of y=2x+1 Bobpursley said: The domain of x is not restricted by that equation. Does that mean the domain is all real numbers?
43. ### Math

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work
44. ### MATH

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work
45. ### calculus

for the given functions f&g, find the following and state the domain of each result. f(x)=5x+4/7x-8; g(x)=2x/7x-8 a.(f+g)(x)= ? what is the domain? b. (f/g)(x)= ? what is the domain? Please show work
46. ### Algebra

Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function
47. ### algebra

if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h please show work
48. ### calculus

for the given functions f&g, find the following and state the domain of each result. f(x)= 5x+4/7x-8; g(x)= 2x/7x-8 a. (f+g)(x)=? what is the domain? b. (f/g)(x)=? what is the domain?
49. ### calculus

for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ? what is the domain of f*g? b. (f/g)(x)=? what is the domain of f/g? please show work
50. ### Math

. The volume of a rectangular box is given by the expression V = (120 − 6w)w2, where w is measured in inches. a. What is a reasonable domain for the function in this situation? Express the domain as an inequality, in interval notation, and in set notation. b. Sketch a graph ...
51. ### math

Find all numbers that are not in the domain of the function. Then give the domain using set notation? F(x)=________17over xSquare+4x-12
52. ### math

Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?
53. ### aLGEBRA

Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?
54. ### Algebra

Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?
55. ### Algebra - Domain

Find the domain of the function: 0=((y-4)/(8-sqrt(y)))
56. ### college algebra

For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g? B. What is the domain of f/g? Please show all work.
57. ### help college algebra

given the following piecewise function f(x) = -x+1 for x<0 -1 for 0<x<3 -2x for x>3 find the domain find the range find the intercept d) is f continuous on it domain if not sate where f is dicontinous
58. ### college algebra

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? please show work answer the following for the given quadratic function f(x)=x^2+10x-11 a. what is the ...
59. ### Algebra-domain

I had to find the domain of a function, and my answer is that x is all real numbers except -5 and 6. How do I write that in interval notation?
60. ### Math - Domain of Composite function

Find the domain of the composite function f ₒ g . Please show all of your work. f(x) = √x; g(x) = 2x + 12
61. ### college alg

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 (they look like fractions) A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work
62. ### college alg :(

if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h
63. ### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5} 4. Domain: {0, -2, 2, 1, -5}; Range: {2...
64. ### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5} 4. Domain: {0, -2, 2, 1, -5}; Range: {2...
65. ### 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...
66. ### Algebra- ASAP

Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/(x^2 -49) (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is the union symbol. Find the domain of the ...
67. ### Algebra

How do I find the domain of the function. P(x)=x©÷ - 2x +9 What is the domain of p X ¡Á 0 X > 0 X ¡Á 9
68. ### Math

what is the domain of this function how did you find the domain. f(x)=(2x-3)/(x+9)

A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is {-1,0,3} and whose range is [3,4,7,9} D.Give an ...
70. ### Functions

Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is the union symbol. Find the domain of the ...
71. ### 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.
72. ### math111(3)

The function f(x)=(x+6)^2 is not one-to-one. Choose the largest possible domain containing the number 0 so that f(x) restricted to this domain is one-to-one. The largest possible domain is [-6,infinity) If the restriction function is written F, then inverse function F^{-1}(y)=...
73. ### Calculus

Describe the Domain of the Function: F(x)= 2x/(x-2)(x-1) The domain of the function consists of all real numbers x except ____?

given the following piecewise function F(x)={x+11 for -9¡Üx<-3 2 for -3¡Üx¡Ü2 2x-6 for 2<x¡Ü5 {--this symbol is to be around all three of the lines. Find: a. the domain b. the range c. the intercepts d. if f continious on its domain. If not, state where f is ...
75. ### Math (Pre-calc)

1) F(x)= (X+2)/(X^2-4x-5) A) Find the domain (-00,-1)u(-1,5)u(5,00) B) find F(-3) I'm not sure how to do it. C) Find F(X+2) I'm not sure either. 2. f(x)= (2x)/(x-4) G(x)= (x)/(X+5) find the domain of each. A)(F+G) (4x^2+5x)(x-4)(X+5) x can't= 4,-5 B) (F*G) (2x^2)/(x-4)(x+5) ...
76. ### Trigonometry

In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please explain in detail the meaning of this ??? ...
77. ### calculus

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
78. ### Math (calc)

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I guess there aren't any...
79. ### Pre-Cal: Domain

[Note: I really need help on these Domain questions. I've been struggling with this all day] -Consider the following: f(x)= 5/x , g(x)= 7/(x+7) -Find the solutions to the following: 1). (f+g)(x) 2). Domain of (f+g)(x) [Use interval notation too] 3). (f-g)(x) 4). Domain of (f-g...
80. ### Calculus.

Given the function f with the restricted domain, find the points at which the tangent line is horizontal. f(x)=2sec(x)-tan(x) Domain: [-pi/2,pi/2] * I got (pi/6, square root of 3), but I am not sure if that is right, or if there is another point.
81. ### You did letter B for me, can you check my work?

if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h A) f(g(x)) =lnx(e^3x) domain x>0 C)f(h(x)) =lnx(x^4) x>4
82. ### math

So for this question it says, the graph of the function f(x)= radical of x+4 is shown. The domain of the function is 1) {x|x is greater than 0} 2) {x|x is greater or equal to 0} 3) {x|x is greater than -4} 4) {x|x is greater than or equal to -4} I know that the answer is 4 but...
83. ### algebra

For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x-2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?
84. ### algebra

For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x-2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?
85. ### Algebra

23. The ___ axis represents the independent variable. X? 21. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above I'm not sure 27. The ...
86. ### pre-cal

for the given functions f & g find the specified value of the following functions and state the domain of each one. f(x)=2+6/x; (g)x 6/x a. (f-g)(3)= what is the domain of f-g? b. (f/g)(6)= what si the domain of f/g?
87. ### Domain of composite function

Can you please help me with the following questions? Find the domain of the composite function f * g. 12. f(x)=x+3, g(x)=1/(x+7) 15. f(x)=7x+70, g(x)=x+2
88. ### algebra

can someone help me find the domain and range of the function f(x)=3(x-3)^2-1 I think the domain is all real numbers but I'm not sure about the range
89. ### Math - Domain of Composite

Find the domain of the composite function . Please show all of your work. f(x) = sqrt(x); g(x) = 2x + 12
90. ### Algebra

Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x<-2@3 for -2 ?x ?0@2x-6 for 0<x ?5 )? Find the domain. Find the range. Find the intercepts. Is f continuous on its domain? If not, state where f is ...
91. ### calculus

Consider the function . a. Find the domain and range of h. b. What is the inverse of h? c. Find the domain and range of h. d. Is h a function? Explain
92. ### math/calculus

let f(x)=ln(x)x>0 let k(x)= f(g(x)) and m(x)= f(g(x)) a) Find the domain of the function K(x). b) Find the domain of the function M(x). c) Find the value of k'(5)
93. ### Algebra

I have some problems that I need help with please. Thanxs! Find the domain of the function. 1. f(x)=-8x-2 Given fuctions f and g, perform the indicated operations. 2. f(x)=4x-9 g(x)=7x-3 find f - g. Given the functions f and g, determine the domain of f + g. 3. f(x)=2x/x-3 , g...
94. ### 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 ...
95. ### Math

1) Let f(x)=9x-2;g(x)=under square root 3x+7. Find each of the following. A) domain of (f+g) B) domain of fg C) domain of f/g (my answer is all r real number am i right?) 2) Let f(x)=3x-2;g(x)=5x+1. Compute the indicated value. A) (fogof)(2) i don't get the answer.please help ...
96. ### 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 ...
97. ### Math

If f(x)-lnx,g(x)=e^8x, and h(x)=x^7, find the following: a. (f.g)(x). what is the domain of f.g? b.(g.f)(x). what is the domain of g.f? c. (f.h)(x). what is the domain of f.h? I have no clue how to do this. Somebody please help me?? please???
98. ### calculus

You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the derivative of the function using the definition of derivative. (b) Give the domain of the function. c) Give the domain of derivative of function?
99. ### Algebra

I think this is a easy trick question, so I probably know the answer but I just wanted to double check. What is the domain and range of the function f(x) = 3^x Find the f^-1 and its domain and range? Thanks for your help.
100. ### Math

how would i go about finding the domain of the function f(x)=(3x+1)/(sqrt(x^2+x-2)) and both the domain and range of g(x)=(5x-3)/(2x+1)