f(x) —D —х, g(x) — х — 4

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

A:

Q: x 1 2 Find the values of a and b that make f(x) continuous.

A: Given Data: Function: fx=1x,x<-1ax+b-1≤x<121xx>12 The condition of the given continuous…

Q: find two functions f(x) and g(x) such that (fog)(x)=h(x)=-5/(3x-2)^3

A: We want two functions so that if we put g(x) into f(x) for x, we get h(x) but if we pull out what's…

Q: Find the domain of the function f(x) I - 8

A: Domain: It is the values of input x that can be given to the function so that function will be a…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x2 + 2x,    g(x) = 3x2 - 1

A: Given functions are fx=x2+2x,gx=3x2-1. f+g=x2+2x+3x2-1=4x2+2x-1 Domain of f + g is -∞,∞.

Q: f(x) = x -5x+3; k = 2+ i

A:

Q: C. Find the composite function f•g and gof, and state their domains. 10. f(x) = x2 – 9x, g(x) = Vx +…

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Q: O Find a, b to Continue The function at x= 3 if ax+b x > 3 f(x) = 2a-b+1 X = 3 bメーa+3 Xく3

A: Given,          The function is continuous at x=3.            fx=ax+bx>32a-b+1x=3bx-a+3x<3

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

A:

Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: The function f(x) =x³ – 3x2 + 3x -1, x e R has a point of inflection | at A) x = 1 B) x =-1 C) x = 3…

A:

Q: The function f(a) has been transformed to g(æ) +7. Given %3D (2-2)

A: Given, The parent function is fx=1x and the transformation function of fx is gx=-4x-2+7. If fx has a…

Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: Find all values of x by satisfying the given conditions. f(x) = 2x - 5, g(x) = x2 - 3x + 8, and (f ∘…

A: Consider the given functions, fx=2x-5gx=x2-3x+8 the function composition is defined as applying one…

Q: (c) Find the domain and sketch: F(x) = and G(x) = e"-2 + 1 x2

A: Given a function F(x)=3x+|x|x2 To find the domain and sketch the graph of the given function. The…

Q: Find the functions f(x) and g(x) so that h(x)= f(x)og(x): h(x) = square root of (x-3)

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

A:

Q: Find functions h and g such that (h o g)(x) = (x³3 + 2x – 1). -

A:

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

A:

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

A: Given: f(x)=2x, g(x)=4x+4To find: the domains of f+g, f-g, fg and fg

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: The functions f and g are defined by f (x) = x² and g(x) 2x, respectively. Which equation is…

A: We have to find function

Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54

A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.

Q: 2-2x find (fif) G) to use f Cx) = x

A:

Q: Given f(x)=x-1 and g(ò)=x*, determine an equation for (gof)(x). a) (gºf)(x)=(x−1)ª b)…

A: To determine an equation fon (gof)(x).

Q: F(x)=Vxg(x)+3x, with g(1)= 1 and g'(1) 4, then F (1) is

A:

Q: х-6 f(x) = , Find (g o f)(-2). g(x) = x2 + 9; %3D %3D

A:

Q: find f(0), f'(0), g(1), g'(1), and (g o f)'(0)

A: The graphs of functions f and g are given belwo:

Q: Let f(x)=4x-1, h(x) = -x+ 1. Find (fo h)(2). (fo h)(2)=

A: Given fx=4x-1 and hx=-x+1. To find: f o h2 Solution: We know that, f o hx=fhx Therefore,  f o h2=fh2…

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Given the functions g(x) = 2x + 3                                              x - 5  find g-1(x)

A:

Q: Given f(x) 3D4X-6 and g(x) = 2x 3x SPO find (f-g)), +g), (S.g))

A: Given that, fx=4x-6 ; gx=2x2-3x We have to find, f-gx ; f+gx ; f·gx ; fgx

Q: Given f(x) = 4x - 6 and g(x) = 2x- 3x %3D %3D find (f-g) f+g)x) , f.g), 1 (x)

A: Algebraic properties on two functions are :…

Q: Find the set of values of b so that the function f:R→R given by 21-4b - b? f (x) = | 1- x³ +5x + a,b…

A: B belongs to [2,3]

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

A:

Q: b) Find the domains of the following functions. 3x + |x| i. G(x)

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Q: 2 Given f(x) = x“ - 2 and g(x) 4x + 1, find a. f g b. g(f(x))

A: We will find f .g and g(f(x)) in the following step.

Q: 10. Find the domain of the function. a) f(x) = V49 – x2

A:

Q: 1. Given the functions Ax) = x* + 1 and g(x) = 3- x, determine an equation for the combined function…

A: Given function is f(x) = x^2 + 1 and g(x) = 3 - x

Q: 닭 -2 3 2 2 3 -4- Y -1 3

A: Given graph of function         y= f(x)

Q: 2) Find (f • g)(x) and (g o f)(x) and give their domains. f(x) = x² + 1 g(x) = 2x² + 3

A: Consider the given function fx=x2+1 and gx=2x2+3 To find f∘gxand g∘fxand also tits domain.

Q: Given the functions g(x) = 3x + 1/ 2x - 4 find g-1(x)

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Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: Express the function H(x) = |7/x - 2 in the form fo g. g(x) = %3D f(x) =

A: H(x) = [7x -2] so here find f*g(x) form here g(x) = 7x -2 and f(x) = [x]

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…

Q: b) g(x) = /x – 1, find g(2), g(1), and g(-1).

A:

Q: Find f+g, f-g, fg and f/g and their domains.  f(x)=2/x , g(x)=4/x+4  Answer should be:

A: we have given f and g  We have to find the value of f+g, f-g, fg,f/g and their domain

Q: -3x Find f (x) given that f'(x)=x' +2-e* at (0,-1).

A: