Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use non-identity functions for f(x), g(x) and h(x).) F(x) = ³√ ((√ x)-4)

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function f(g[h(1)]) without finding an…

A: The given functions are To solve the function First find the value of h(1)

Q: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

A:

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f • g)(3)?

A: f(x)= 3x+4 , f(3)= 14 g(x)= -2x -3, g(3)= -9 f(-9)= -23

Q: For the functions f(x) = - 4x+1 and g(x) = 2x-x+5, find g(f(- 2)). %3D %3D (f(-2)) = %3D

A: A composite function is created when one function is substituted into another function.  f∘gx =fgx

Q: Find the difference quotient, f(x+h)-f(x)/h where h is not equal to zero of the function f(x) =2x+1…

A:

Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find the domain of f/g​, where ​f(x)=x+17 and ​g(x)=x^2.

A: The given functions are fx=x+17,gx=x2. Divide the function fx=x+17 by gx=x2 to obtain the function…

Q: Given f (x) =-7x - 8 and g (x) =x², %3D (a) Find (f °g)(x). (b) Find (g of)(x). (c) Is (f °g)(x)= (g…

A: Given- fx=-7x-8 and gx=x2 To find- a-fogxb-gofxc-is fogx=gofx ?

Q: For the linear function f(x) = mx + b, a. Find f(x1 + x2). b. Find f(x1) + f(x2). c. Is f(x1 + x2) =…

A: Given linear function: fx=mx+b

Q: The domain of f(x)=y=. x-1 x+2 is

A:

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an…

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f(g[h(1)]) without…

A: given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 the given expression is: fgh1

Q: Let f(x) = - 3x +2 and g(x) = x – 4. Find the difference (g - f)(x). %3D

A:

Q: The domain of the function f(x)= 50/6x-23 is all real numbers x except for for where x equals?

A: Given

Q: For the function f defined by f(x) = x2 - 4x + 1, find: f(-x)

A: Here given as fx=x2-4x+1

Q: = 2x - 3, evaluate a)  f(2) - g ( - 1)

A: Function: f(x)=x2+2 g(x)=2x-3

Q: The function f is defined as f (x) = 2. -4x+5x Find f(x+3).

A: given: fx=8-4x2+5x we know that for fx+3 we put x+3 in place of x in fx

Q: Let f (x) = -3x +1 and g (x) = -2a+ 5a 1. Find f (x)-g (x) 22-5x 5x 5x + 5x D-a2 -5x + 2

A: Given the functionsf(x)=−3x2+1g(x)=−2x2+5x−1

Q: For the functions f(x)=4x4+4x3−8x2−13x−5 and g(x)=x+1, find (f/g)(x) and (f/g)(2)

A:

Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .…

Q: For the functions f(x)=4x4−20x3+9x2−54x+45 and g(x)=x−5, find (f/g)(x) and (f/g)(−4).

A:

Q: If f(x)=x²+3 and g(x)=x+2, what is (f-g)(x)? .2

A: From the given data

Q: Given that f'(x) = 4x(x² + 8)¬1/3 and f(0) = 0, find the function f(x).

A:

Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

A: we have to simplify and find the difference quotient  f(x+h)-f(x)h    , h≠0and given that…

Q: Given f(x) 4 and g(x) = v3-a, find the composite function %3D x2 9. fog and its domain.

A:

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: Given that f(x) =x^2 -2 and g(x)=6x+3 find (f-g) (-2) if it exists

A: Consider the given equations

Q: Use the functions f(x) = x + 4 and g(x) = 2x³ to find g-¹ o f-¹

A:

Q: Let f(x) be the function 2a² – 4x + 11, Then the quotient f(2 + h) – f(2) - can be simplified to ah…

A: The equation of line between two points;(4, -3) and (-3, 0)f'(4)=0+3-3-4=-37passes through (-3,…

Q: Let f(x) = 4 - x2 and g(x) = x + 5. a. Find ( f ∘ g) (x).   b. Find f(x + h) - f(x)/h, h ≠ 0, and…

A: Given:fx=4-x2gx=x+5Formula:f∘gx=fgxf'x=fx+h-fxh

Q: For the functions f(x)=2x2+5x−9 and g(x)=x2−2x−5, find (f⋅g)(x) and (f⋅g)(−2).

A: Given f(x) =2x2+5x-9  and g(x) = x2-2x-5We find (fg) (x)  and (f.g) (-2)

Q: g(x) = x2 + 2x – 2 I

A:

Q: For the functions f(x)=4x3−15x2+4x+15 and g(x)=x−3, find (f/g)(x) and (f/g)(−2)

A:

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Q: For functions f(x)=2x2−4x+3 and g(x)=x2−2x−6, find a. (f+g)(x)  b. (f+g)(3).

A: To Determine: for function f(x) and g(x) find  a. (f+g)(x)  b. (f+g)(3). Given: we have two…

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

A:

Q: The domain of the function f(x) 2x + 7 is O R-(2} R-{2} OR OR-(2) O R-{0}

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given the function f(x) = - + v , find f'(4). Express your answer as a 2 single fraction in simplest…

A:

Q: Find the domain of the function f(x) : V4 - 2x - x

A: Given function is, f(x)=14-2x-x2

Q: find the domain of f/​g, where f(x)=x+4 and g(x)=x2.

A: Explanation of the solution is given below....

Q: Find the function f(x)= -4x^2 + 3x-1, find the following and simply: a) f(-2) b) f(a+2) c) f(a)+f(2)…

A: The given function is f(x)=-4x2+3x-1 (a) f(-2)=-4(-2)2+3(-2)-1          =-4(4)-6-1          =-23

Q: If f(x)= x/1+g(x^2), and g(4) =0, g'(4) = -1, then f'(2)=?

A: Some rules of differentiation which you will use in solving this question:…

Q: 7. Find and simplify the difference quotient f(x+h)-f(x) for the function f(x) = x² -

A: I am answering first question

Q: Find the domain of the function f(x) = x2 -1 %3D

A:

Q: Find the domain of f

A: Given  fx=x+1x3-4x To find the domain of f(x)

Q: If f (x) = |3x - 2| and g(x) = |x| + 2, find f (1), f (-1), g(2), and g(-3).

A: fx=3x-2  &  gx=x+2 Now, f1=31-2=1=1 f-1=3-1-2=-5=5

Q: For functions f(x)=x2−5x−24 and g(x)=x+3, find a. (fg)(x) b. (fg)(−3).

A:

Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

A: We have to find difference quotient fx+h-fxh, h≠0 for the function: fx=x2-4x+3 Finding fx+h: Putting…

Q: Given f(x) = 2x2-5x+3 and g(x) = 4x-7, find the composite function f g. %3D

A: topic - composite functions

Q: Find f such that f'(x) = 5x +9x -4 and f(0) = 8. f(x) 3=

A: we will integrate and  solve