f(x) g(x) 2 -4 -2 X 4 -2 4 D searchi

Q: Find f + g, f - g, fg, and f/g and their domains.

A: fx=2x+1,  gx=xx+1 Now, f+gx=fx+gx=2x+1+xx+1=2+xx+1 Now domain is the set of all values of x for…

Q: Given g(x) = x2 + 3  and h(x) = x − 3,  evaluate the composite function. h[g(x)]

A:

Q: 2. Use the graph of f(x) below to a) determine the domain and range of the function and b) evaluate…

A: This question is related to Functions, we will solve it using given information.

Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains. f(x) = |x|, g(x) = 2x + 3

A: f(x)=| x | , g(x)=2x+3

Q: Find possible choices for outer and inner functions ƒ and g such that the given function h equals ƒ…

A:

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 5 - x2, g(x)…

A: Given functions,  f(x) = 5 - x2  g(x) = x2 + 4x -12 We have to find f + g, f-g, fg and f/g. And the…

Q: The functions f and g are defined by f: xx-3 and g : x x respectively. Find another function h such…

A: Let us consider three functions f(x) ,g)x) and h(x) then    the function hgf(x) is composite…

Q: The function h is defined below h(x)=x-9/x²-49 Find all values of x that are not in the domain of…

A:

Q: Find the composite function f •g for the functions below, its domain, and its value at x = 2. x3 3.…

A: The solution are next step

Q: The function h(x)=(x+3)2 can be expressed in the form f(g(x)) where f(x)=x2, and g(x) is defined…

A:

Q: The function h(x) can be expressed in the form f(g(x)) where g(x) = (x – 9) and x – 9 f(x) is…

A: topic - functions

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 3x - 4, g(x)…

A: Given The function is f(x) = 3x - 4, g(x) = x + 2

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = √x, g(x) = x…

A:

Q: C. Find the composite function f•g and gof, and state their domains. 9. f(x) = x² – 3, g(x) = x + 2

A: The given data is: fx=x2-3gx=x+2 To find the composite function fog, and gof.

Q: The function h(x)=(x+6)^7 can be expressed in the form f(g(x)), where f(x)=x^7, and g(x) is defined…

A: Since h(x) = f(g(x)) And h(x) = (x+6)7 And f(x) = x7.

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 2x2 - x - 3,…

A:

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = √(x + 6),…

A: Given: f(x)=x+6,g(x)=x-3 To determine: f+g , f-g , fg , fg and their domain.

Q: Given f(x)=4x -3 and g(x) = 5x-1 evaluate the composite function g[f(0)]

A: Given functions are

Q: A function of f is given. Find f^-1 f(x)=√x+1

A: Given that the function is         f(x) = √x + 1 Here we have to find the inverse of f i.e., f-1.

Q: Find the composite function of g(f(x)) given the two functions f(x)=5x-8 and g(x)= 7-4x

A:

Q: Given that f(x) = 3X, identify the function g(x) shown in the figure. %3D O A) g(x) = 3-X - 2 %3D

A: NOTE: Refresh your page if you can't see any equations. . the base function is  . as we can see, the…

Q: Evaluate the indicated function, where f(x) = x2 − 3x + 2 and g(x) = 2x − 4. (fg)(−1)

A: Given,   f(x) = x2 − 3x + 2 and g(x) = 2x − 4

Q: The functions g and h are defined as follows: g:x→2**1 +- 2° h:x→x - 3x+2, x20. (1) Explain why the…

A: Given functions are: g:x→2x+1+12, x≤0h:x→x2-3x+2, x≥0

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = (3x + 1) /…

A: Given:fx=3x+1x2-25gx=2x-4x2-25f+gx=fx+gxf-gx=fx-gxfgx=fx.gxfgx=fxgx

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = (5x + 1) /…

A: Given functions -f(x) = 5x+1x2-9 = 5x+1x2-32f(x) = 5x+1x-3x+3             .…

Q: Let f(x) = and f(g(x)) x-2 = x+3 2(2x-3) a. Find g(x). b. Determine the domain and range of g(x).

A: Given, fx=1x+3 and fgx=x-222x-3

Q: f(x) = x4 + 5x2 − 1 is an even function. Give an example of an odd function.

A: Even function:A function f (x) is said to be even, if f (x) = f(–x).Odd function:A function f (x) is…

Q: Find the formula for f∘g(x)

A: f•g(x) = f(g(x)) It means replace every x in f(x) with g(x).

Q: The functions f (x), g(x), and h(x) are defined below. f(x) = -2x g(x) = 2x + 5 h(x) = x² + 3x – 10…

A:

Q: Q1. (a) Find the domain of the functions f(x) = V(1– x)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

A: "Since you have asked multiple questions, we will solve the first part for you. If you want any…

Q: Let f(x) = |x| and g(x)=x-2. Determine the composite functionfog and its domain (fo g)(x) = Which of…

A: Given f(x) = xg(x) = x3-2Composite function fog = f(g(x))∴ f(g(x)) = g(x) = x3-2∴fog = x3-2

Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains. f(x) = x - 4,   g(x) = |x + 4|

A: fx=x-4  &  gx=x+4 f∘gx=fgx=fx+4=x+4-4 The domain is the set of all real numbers.…

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: Given, f(x)=-18x+4x-2x-6 now find intervel of x where f(x)>0 -18x+4x-2x-6>0x+4x-2x-6<0 from…

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 9x/(x - 4),…

A: Given functions -f(x) = 9xx-4           ................(1)g(x) = 7x+8…

Q: The functions f, g, and h are defined as follows. f(x) = - 6-4x g(x) = -5|-5+x| h(x) =-4+/x-3 Find…

A:

Q: Find the functions, f ∘ g and g ∘ f and their domains. f(x) = 3x,    g(x) = x2 + 1

A: The domain of a function is the set of values for which the function is defined. An exponential…

Q: B. Given the function f, prove that f is one-to-one using the definition of one-to-one function. 7.…

A:

Q: Given f(x)= 2x-2 and g(x) =4x -1 evaluate the composite function  g[f(x)]

A:

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 8x/(x - 2) ,…

A: To Determine:  Find f+g, f-g, fg, fgand determine the domain for the given function. Given: we have…

Q: Find f + g, f - g, fg, and fg of the given function f(x) = x2 + x + 1, g(x) = x2 - 1 and determine…

A: Given function are fx=x2+x+1 and gx=x2-1. To find: f+g, f-g and fg. Solution: f+g=x2+x+1+x2-1=2x2+x…

Q: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains. f(x) = 2x + 3,  g(x) = 4x - 1

A: Given that the functions are  f(x) = 2x + 3  and  g(x) = 4x - 1 we know that domain of given…

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: f(x)=x2(x+2)(x-1)2(x-2)

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 6x2 - x - 1,…

A:

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 2 + 1/x,…

A: Given fx=2+1x and gx=1x

Q: Consider the function g defined by g(x) = x5+x3+x.  b. Find (g-1)'(3)

A:

Q: The new function g(x) is found by performing a horizontal stretch of a factor of 3 on f(x). Given…

A: Given:- fx=-6x-3 To find new function gx is found by performing a horizontal stretch by factor 3

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = √(x + 4),…

A: Givenf(x)=x+4 , g(x)=x-1To find f+g, f-g,fg, fg

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = x - 6, g(x)…

A: The given function is f(x)=x-6 and g(x)=5x2

Q: Find the domain of the functions f(x) = V(2 – a) (x – 7) and g(x) = In(x² – 4)(3– x). Also determine…

A: