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) =  6 x2 + 1 (f(x), g(x), h(x)) =

Q: If g is a twice differentiable function and f(x) = xg(x5), find f ″ in terms of g, g′, and g″

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Q: Find two functions f and g such that h (x) = (f • g)(x). h (x) = |3 – 2x"| Select a function forf…

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Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

Q: Let f(x) = 2x + 3/3x-2 , g(x) = 4x/3x − 2, h(x) = √3x − 12, F(x) = 3x + 4, G(x) = 2x − 3 a) Find the…

A: Solve question

Q: 2. Let f(x)=2x²- x- 3 and g(x)=x+1. Find each function and determine its domain. 2a. (f+g)(x) 2b.…

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Q: x+5 4. f(x) = %3D x2-5x+4

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Q: Express h(x) = (x2 - 3x + 7)9 as a composition of two functions f and g such that h(x) = ( f ∘…

A: To Determine:  Express h(x)  as a composition of two functions f and g such that h(x) = ( f ∘ g)(x).…

Q: Find the intercepts of the function. f(x) = (x + 1)(9x2 − 1) x-intercept      (x, f(x))  =…

A: Given function is  f(x)=(x+1)(9x2-1)

Q: g(x) = e2" + x² – 2 with R>0 - 2²

A:

Q: 20. Determine algebraically whether the function 5x f(x) = x - 9 is even, odd, or neither.

A: Given f(x)=5xx2-9 If f(-x)=-f(x), then the function is said to be odd function. If f(-x)=f(x), then…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 5 - x,    g(x) = x2 - 3x

A: Given, f(x)=5-x  and g(x)=x2-3x To find  f+g, f-g, fg, f/g.

Q: Let f(x) = 2x – 5 and g(x) = 3 - x. Find all values of x for which f(x) 2 3 or g(x) < 0.

A: Given: fx=2x-5gx=3-x To Find:  All values of x for which fx≥3 or gx&lt;0

Q: Let f(x) = 2x - 1 and g(x) = x2 + x - 2. Find the function: (f - g)(x)

A: fx=2x-1 and gx=x2+x-2

Q: Let f(x) = 3x + 2 and g(x) = 5x – 8. Find all values of x for which f(x) > g(x).

A: f(x)=3x+2  ,  g(x)=5x-8

Q: Let f(x) = x - x- 4 and g(x) = 2x - 6. Find (g-f(x). %3D (g-D(x) = - x² +3x - 2 (g -(x) = x2 - 3x –…

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Q: If f is a differentiable function and such that and g (x) =x^2 f(x) such that f(3) = -7 f'(3) = 2,…

A: This question can be solved using the concept of product rule of differentiation.

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

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The functions, f,g, and h are defined as follows.  f(x) = √-5x+13,  g(x)= x²+12,  h(x)=|12| - 15…

A: Answer is f(-2)=2√5+13. g(4)=28 h(-1/4)=-3 Explanation is given below...

Q: Let f(x)=2x-1, g(x)=6x-3 and h(x)=4x^2-4x+1, and find the following (f/g)(-2)=

A: Given f(x)=2x-1, g(x)=6x-3, h(x)=4x2-4x+1

Q: xpress the given function h as a composition of two functions f and g so that h(x)=(f•g)(x),where…

A: Given data: The expression for h(x)=(x4-6)1/7. The given one of the function is (x4-6). The…

Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x =…

A: Explanation of the answer is as follows

Q: Find f+g, f-g, fg, and f/g and their domains. f (x) = /16 – x², g (x) = V/x² – 1

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Q: Is the function f (x) = x³ – 3 odd, even, or neither even nor odd? - Odd Even Neither even nor odd

A: A function f(x) is even if f(-x) = f(x) for all x ∈ R. A function f(x) is odd if f(-x) = -f(x) for…

Q: Find the differnce quotient f(x)=f(x+h)-f(x)/h of the function f(x)= 4x^2-5 DQ= 2x+h DQ= 8x+h DQ=…

A: on using given formula we get last option is true

Q: Find and simplify the difference quotient of f, f(x + h) - f(x) h #0, for the function. f(x) = x2 +…

A: Topic = Functions

Q: Express the function h(x) = (3x - 1)4 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given: h(x) = (3x - 1)4

Q: Find the functions, f ∘ g and g ∘ f and their domains. f(x) = 2x,    g(x) = x + 1

A: Given, fx=2xgx=x+1

Q: f(x)=x^2 and g(x)=3x-3 and find f(2)+g(2), f(2) times g(2), f(g(2)), and g(f(2))

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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: ind the intercepts of the function. f(x) = (x + 4)(9x2 − 1) x-intercept      (x, f(x))  =…

A:

Q: Find  f + g,   f − g,   fg,  and  f/g  and their domains. f(x) = 5 − x,    g(x) = x2 − 4x

A: Since you have asked a question with multiple question in a single request, we would be answering…

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

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Q: Let f(x)=x2, g(x)=2x+5, and h(x)=x2-1 a. h[f(-2)] b. f[g(x-1)]

A: Given that , fx=x2 gx=2x+5 hx=x2-1

Q: Find the intercepts of the function. f(x) = (x + 8)(4x2 − 1) x-intercept      (x, f(x))  =…

A: x-intercept: (a, 0) The value of x for which f(x) or y is 0.   y-intercept: (0, a) The value of y…

Q: Let f(x) = x3 + 2, g(x) = x2 - 3, and h(x) = 4x + 10. Find the rule for the function. f-g divided…

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Q: Let f(x)=-4x^3-8x^2-x+2 , g(x)=5x^3-3x^2-7x-4 Find (f-g)(x) Find (f-g)(-1)

A: f(x)=-4x3-8x2-x+2, g(x)=5x3-3x2-7x-4To find: (f-g)(x), (f-g)(-1)

Q: Let f(x) = x + 6, g(x) = x2 - 10, and h(x) = 3x + 5. Find the rule for the function. %3! %3D f-g

A: given: fx=x3+6g(x)=x2-10h(x)=3x+5 we have to find a rule for the function f-g

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: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

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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: Find the X-coordinate of the points of intersection of the graphs of two functions. f (x) = x² – 11x…

A: Find the x-coordinate of the points of intersection of the graphs of two functions.…

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: 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: Find functions f and g so that h(x) = (f • g)(x). h(x) = 2 %3D x-2 f(x) = 1/x, g(x) = x²-2 f(x) =…

A: Given: hx=fogx and hx=1x2-2 hx=fogx=fgx  So, fgx=1x2-2 Check fgx for each given option (i) fx=1x,…

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: 1- Determine algebraically whether the function F(x)=(x²+ 3] (x'-2x)*is even, odd, or neither?

A:

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

A: Given functions,  f(x) = x2 + x,       g(x) = x2 To find f + g, f - g, fg, and f/g and their…

Q: The function h(x)=1 (fraction) x+9 can be expressed in the form f(g(x)), where g(x)=(x+9), and f(x)…

A: ANSWER : f(x) = 1/x   EXPLANATION :

Q: Given a function f (x), if f (x + h) – f (x) = v2x + 2h – 3 – V 2x – 3, find and simplify the…

A: fx+h-fx=2x+2h-3-2x-3