Find the rules for the composite functions f ∘ g   f(x) = 8x2 + 5x + 4; g(x) = x + 1

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

A:

Q: Evaluate the composite function, where f(x) = 4x + 5, and g(x) = x2 − 4x. (f ∘ g)(−3)

A: Given function are

Q: For the function f(x) = !!x2 + 3 find f -1(x)

A: the given function isf(x)=x2+3to find f-1(x)

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: In Problem,find the domain of the composite function f ο g.

A: Domain of the function- domain of the function is set of values of x , where fuction is defined.In…

Q: L3Q3. If f(x) = -8x2 + 3x + 1 and g(x) = x + 1, find (f + g) (x). A.-8x2 + 4x + 2 B.-8x2 + 5x + 4

A:

Q: Let f(x) 2x-1 and g(x) x2-5 Find f(g(-3))

A: substitute –3 for x in g as follows.

Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

Q: Let f(x)=2x-1 and g(x)=x2+3. Find (f*g)(-5).

A:

Q: In Problem,find the domain of the composite function f ο g.

A: Given,           fx=xx-1 and gx=-4x

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: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6.Find g(f(-1)).

A: Given:

Q: Let h(x)=f(x)g(x). If f(x)=−3x2−4x+2 and g(x)=−x2+3x+2, what is h′(−1)? Do not include "h′(−1)=" in…

A: Calculation of h (x):Using the functions f (x) and g (x), the function h (x) can be obtained as…

Q: Find real values of x for which f(x) = 0. f(x) = x3 − x

A: Given: fx=x3-x To find the real values of x for which fx=0. Solution: Put fx=0 and then solve for x.…

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

A:

Q: f(x)=x^3 find f^-1(-8)

A:

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then what is the value of (f/g)(-2)? Show Work

A:

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: 3. If f(x)=2x + k - 4 and f(f(k)) = 2, determine the value of f(-3).

A: Given: f(x)= 2x+k-4 and f(f(k)) = 2, then find f(-3) .

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

A:

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

A:

Q: can i get help step by step

A: We have to essentially find the integral of the given function

Q: Find the rules for the composite functions f ∘ g and g ∘ f. f(x) = 8x2 + 7x + 4; g(x) = x + 1

A: Given ,fx=8x2+7x+4gx=x+1

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

A: From the given data

Q: Let f(x)= -3x-1 and g(x)=x^2 -2 Find (f•g)(-7)

A:

Q: Find f such that f'(x) = 2x + 5x - 3 and f(0) = 7. f(x) =

A: Integration both side with respect to x

Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

A:

Q: Determine f '(x) from the first principles if f (x) = -2 -3x

A:

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

A: Explained below..

Q: f(x)=x3-2

A:

Q: Find the values of A, so that the function F (x) = {1-3x                         x 4    is…

A:

Q: Let f(x) = x2 - 5 and g(x) = 3x + 2. Find (f-g)(5).

A: As their are two different question, we have answered first question only and if you want solution…

Q: Find f(3) and f (-1)  F(x) = 3x-5  F(3) =  F(-1)=

A: Topic = Function

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: Find (f-g)(x) if f(x)=sqrt16x4 and g(x)=3x3-3x-5. Choose from the answers below.…

A:

Q: Let h(x) = f(x)g(x). If f(x) = x² + 4x – 1, 9(-2) = 3, and g'(-2) = -5, what is h' (-2)?

A: Given h(x) = f(x)g(x). ƒ(x) = x² + 4x − 1, g(−2) = 3, and g'(-2) = −5,

Q: Given that f(x) = 7|x| + 3x  -1, Find: a) f(-x) b) -f(x) c) Is f(-x)= f(x)?

A:

Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

A:

Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

Q: Find f+ g, f- g, fg, and f/g and their domains. f(x) = 3 - x2, g(x) = x2 - 4

A: fx=3-x2, gx=x2-41 f+gx=fx+gx2 f-gx=fx-gx3fgx=fx.gx4fgx=fxgx

Q: Determine the sum of f(x)=x^3+3f(x)=x3+3  and g(x)=x+1g(x)=x+1 give the domain of the sum.

A:

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 3 - x2,    g(x) = x2 - 4

A: Given f(x) = 3 - x2,    g(x) = x2 - 4 To find  f + g, f - g, fg, and f/g and their domains.

Q: Find f(-x) -f(x) for the given function f  f(x) = x3  + x -5

A:

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: se the functions f(x) = x+ 4 and g(x) = 2 − x^3 to find g^{-1} ∘ f^{-1}

A: Given, f(x) = x+ 4g(x)=2−x3

Q: The function f(x)= (5x+7)/(2x-5) is one to one.

A:

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

A: we will integrate and  solve