33) Use the numerical representation of f(x) below to give a numerical representation of g(x)-f(2x) -42 012 f(x) 10 5 1 3-6

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

A:

Q: 2 (1)If f(x)=x² +x, g(x) = x+3 ' then fog(1)= go f(1) =.

A: Solve the given function

Q: 9. Let f (x) = & g (x) 2 3 = x-2 x+3 a) Find a simplified formula for g[f(x)]. b) Specify the domain…

A: We have to find function

Q: (b) Let the function f: R → R defined by 3x for x > 3 2x2 + 3 for - 2 < x< 3 3 x? – 7 for x<-2 f(x)…

A:

Q: 16. Given f (x) = x/(2+x) and g(x) = 2x/(1-x): a. Find f (g(x)) and g (f (x)). b. What does the…

A: Given functions:

Q: 6. Let g(x) Find the domain of g(x). x-4' 2x2-3x+7 7. Let f(x) = Find f(3),

A:

Q: 1) Let f(x) = –2x² – 3x + 2 f (x+h)-f(x) Find where h # 0 and simplify your answer as much h…

A: We have to find the value of function

Q: 14. Evaluate the function g(x) for g(2). x12 3 4 -1|05 -1

A: Given,         A table of values of gx is shown below :

Q: 3 3 Find the functiong such that fo g= V6x -2 if f(x) = /x g(x) =

A: topic - functions

Q: 1.Let f(x)=5x+3f(x)=5x+3 and g(x)=4x2+5xg(x)=4x2+5x. After simplifying (f⋅g)(x)=

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 6.) Find f/g and its domain. 3 f(x) = = - — 9(x) = x+1 X 2 χ

A: Domain - Set of values of x for which functions is defined.

Q: 1. For the function f(x) = 3x² - 5x +7 find: a. f(-2) %3D b. f(-a)

A: Please see the below picture for detailed solution.

Q: given the function f(x)=4x^3 -5, we calculate f^-1 (x) to be

A: To find the inverse of

Q: 1. Use f(x) = 5-x and g(x): to find the following and identify its domain: %3D x-2 a) (f g)(x) b)…

A:

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

A:

Q: 1. Is g(x) an equivalent expression of f(x)? (Yes / No) If yes, state the restrictions needed. If…

A: We have to solve the g(x) an equivalent expression f(x).

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

A: Given, The functions

Q: 1 what is f(4)? What is f(y) ? x +2 If f(x) = f(4) = (Type an integer or a simplified fraction.)

A: We know that, for a given function fx, the value of function at x=α is fα. We have, fx=1x3+2 Now, f4…

Q: 13. Find [f• g](-4) for f(x) = x-8 and g(x) =-x² +2.

A: Given thatf(x)=x-8g(x)=-x2+2to find fog(-4)

Q: 1. Find the domain of the functions. A) f(x) = 3x+1 15x-1|-4 B) f(x) = x2-7x+12 x+ 5

A: To find the domain of the following functions.A fx=3x+15x-1-4B fx=x2-7x+12x+5

Q: Compute f '(a) algebraically for the given value of a. f(x) = x2 - 5; a = 7 f '(a) =

A: Given : fx = x2-5

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: Let h(x)=f(x)g(x). If f(x)=x2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)? Do not include "h′(−2)="…

A: We have to find

Q: O Let f (x) = x + 5 and g(x) = -x² - 5x. Find f (g(-4)) %3D

A:

Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

A:

Q: Question in Image.

A:

Q: 8. Given f(x) = 3x -9x+35 and g(x)= f(x), determine all possible values for g(5).

A: No real roots

Q: Please show step-by-step solution

A:

Q: let f(x) = x-5 / x2+x -12 and g(x)= x+3 / 3x+12 find an equation of the funtion f-g

A:

Q: Suppose that f'(4) = g(4) = g'(4) = 1. Do we have enough information to compute F'(4), where F(x) =…

A: f'(4) = g(4) = g'(4) = 1

Q: х — 3 Find the the domain of the function f(x) 22 + 7ӕ — 60 {x | x + -12 and x + 5} O {x| x + 60} O…

A:

Q: 1) The function f(x) = x3 - 4x-8.95 has a root in [2,3]. O T F

A:

Q: What is the domain of the following function F(x) = 12x

A:

Q: 7. Find the domain of the functions. a. g(x) = 4 +x – V3 – 5x. 7x3-x²+16 b. f(x) х2-21х-100 In(7-3x)…

A: 7 a Given function is : gx=4+x-3-5x For function gx to be defined if , 3-5x≥0-5x≥-3x≤35   Thus , the…

Q: Please answer a,b,c

A:

Q: =8. If f(x) and g(x) = x2-4, then what is f(g(-2))? x+ 4

A:

Q: find g'(3) given that f(3) = -2, f'(3) =4, and g(x) =2x+1/f(x)

A:

Q: 39. Let f(x) = 2x3 - 4. Find a function y = g(x) so that (f o g)(x) =x+2.

A: We use the definition of composition of functions to find y= g(x).

Q: 4 given that g(2) =1 and g'(2)= - 5, what is F'(2)? If F(x)= g(x)*

A: Just use the quotient rule of derivative and get the required solution. F'(2)=20

Q: 3) Let g(x) = x3-8.6x* + 38.782x - 17.25x - 4.5927x + 10.5 then the value of g(0.25 x 10) =

A: Function value at x=2.5

Q: 3. Find (f-g)(x) if f(x) = 22 +x+1 and g(x) = x2- r - 1. %3D %3D

A: Given, f(x)=x2+x+1g(x)=x2-x-1

Q: 1 Let f(x) = Find f'(x). 4 4 (x³ – )*

A: see 2nd step.

Q: 18. Add the functions: f(x) + g(x) where f(x) = -3x + 2 and g(x) = 2x - 4, h(x) = f(x) + g(x) =

A:

Q: Let f(x) = x² + 2, g(x) = x-- 3, and h(x) = 8x + 3. Find the rule for the function. %3! %3D %3D f-g

A: Consider the given function as, fx=x3+2, gx=x2-3 and hx=8x+3

Q: Let h(x)=f(x)/g(x), where f(−3)=7,f′(−3)=−9,g(−3)=−2, and g′(−3)=1. What is h′(−3)?

A: Given query is to find indicated derivative.

Q: 5. Let f(x) = ab". Determine the constant b so that f(-1) = 10 and f(2) = :.

A:

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

A:

Q: 1 Let f(x) = 4x+ 1 and g(x)= Simplify the expressions f X-1 g(f(4), and g(f(x). ..... g(f(4) = %3D…

A: