Two functions f and g are related by the given equation. Use the numerical representation of f to make a numerical representation of g. g(x) = f(x) + 8 3 4 f(x) 9(x) ok 25

Q: Find: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x)=5/(x+4), g(x)=1/x.

A: Given   f (x) = 5x+4    ,   g(x) = 1xTo find (fog) (x) and domain (fog)          we have…

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

A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

Q: F(x)= 2x+1 , G(x)= x^2-9 What is the domain of f/g ?

A:

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: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x)=x/(x+1),  g(x)=4/x.

A: The functions                   We have to find the composition function (f0g)(x) and also the…

Q: Two functions, f and g, are related by the given equation.  Use the numerical representation of f to…

A: Two functions, f and g, are related by the given equation.   x:  -2, -1, 0, 1, 2 f(x):  10, 8, 5, 2,…

Q: Find: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x) = x2 + 4, g(x) = √(1 - x).

A:

Q: The domain of the function f(x) = cosh +3) + cosh¯1(3 is [-8, A], Then The value of k = The value of…

A: The given function is                      f(x)=cosh-1xk+3+cosh-13-xk and the domain of f(x) is [-8,…

Q: Find functions f and g so that f o g=H for H(x)=|2x 2 -1|.

A:

Q: f(x)= { x^2-1, x less than or equal to 32ax-4, x>3Find values of a for f (x) to be a…

A: Since function f(x) is continuous.Therefore it is continuous at every point and also at x=3

Q: Functions f(x) = 5*-4 and g(x) =1+2x are given. Determine (f o g)(3).

A:

Q: 2. Finc Flx+1) uwhen fCx)= X-3

A: The solution are next step

Q: Express the function h(x) 1 in the form f o g. If x + 6 g(x) = (x + 6), find the function f(x). Your…

A:

Q: The function f is defined by f(x) = ax +b . Given that f(-2) = 27 and f (1) = 15 find the value of x…

A: Given that f(-2) = 27   and  f(1) = 15 we have to find value of x such that f(x) = -5

Q: Functions f(x) = 5*-4 and g(x) =1+2x are given. Determine (fo g)(3).

A: Given f(x)=5x-4  and g(x)=1+2x

Q: Find: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x) = √x , g(x) = x - 2

A: (a) Find the composite function f∘gx

Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

A:

Q: Find the domain of the functions fS(x) = /(2 – x)(I – 7) and g(x) = In(r² – 4)(3–2). Also determine…

A: Domain of function: The domain of function is set of all values for which function is define. Range…

Q: Find the domain of the function f(x) = /2x + 9. The domain is x E (E

A: Given : fx = 2x+9

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

A:

Q: Find functions f and g so that  h(x)=(f•g)(x) for h(x)=1/x^3-7

A:

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: See attached

A: The given function:

Q: Find  (f ∘ g)(x)  and  (g ∘ f)(x)  for the pair of functions. f(x) = x2 + 7x,    g(x) = 9x + 1 (f…

A: f.gx=fgxg.fx=gfx where fx=x2+7xgx=9x+1

Q: Find functions  f(x) and g(x)so the given function can be expressed as h(x) = f(g(x)).  (Use…

A:

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: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x) =x/(x + 5), g(x) = 6/(x).

A: Given that: fx=xx+5,   gx=6x

Q: 5) Find functions f and g so that f • g = H -3 H(x) = Vх — 2

A:

Q: The functions f and g are defined by f: x→x² - 6x, x< 3 (a) Find the value of x such that go f(x) =…

A: Solution: The objective is to find the value of x such that g∘f(x)=-9 and f'(x)

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: Find the functions f ∘ g, g ∘ f, f ∘ f, and g ∘ g and their domains.

A: 51). Given functions are fx=1x and gx=2x+4. To find: f o g, g o f, f o f and g o g and their…

Q: f(x) =6x-2 and g(x)=2x -1 evaluate the composite function f[g(0)]

A: Given functions

Q: Find  (g ∘ f)(x)  and  (f ∘ g)(x)  for the given functions f and g. f(x) = x2 + 2x − 5,    g(x) =…

A: Given, fx =x2 +2x-5   and gx = x+7   We have to find  g∘fx and f∘gx

Q: Functions f and g are defined by f:xHx-3 g:xH 2х-5 Find (a) fg(3) (b) ff(x) (c) g/(x)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: - 1) = 3 If h(x) = xf(x)g(x) and f(- 1) = 2, f'(- 1) = - 3, then determine the value of h'(- 1).

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Functions f(x) = 5"-4 and g(x) = 1+2x are given. Determine (f o g)(3).

A:

Q: f(x) = x2 - 16.  Is f increasing or decreasing and on what?

A: Given function is

Q: .1.Find the natural domain and range of the function f (x)=

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the domain and ranges of f, g, f/g, g/f f(x)=2 g(x)=x2+1

A:

Q: 2. What are all values of x for which the function / defined by f(x) (x - 3)e* is increasing? A. x3…

A: To find the interval on which function f(x)=x2-3e-x is increasing. First, we need to find the…

Q: given f(0)=-16,f'(0)=-12,g(0)=17,g'(0)=-18 find the value of h'(0) based on the function…

A:

Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: 4. Given the functions f(x) = x + 2 and g(x) = x², determine all values of x for which f(g(x)) =…

A:

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: Find: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x) =2/(x + 3), g(x) =1/x.

A: Given:fx=2x+3gx=1xf∘gx=fgx

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: