Use f and g given by the following tables of values. f(x) х -3 5 0 -3 -5 1 1 g(x) х -5 -2 1 0 Evaluate (fo g)(5)

Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: If f(x) = x2 +9 and g(x) = -4x + 2 then evaluate the following: a, f(g(2)) b. (f-g)(-6)

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Q: Given the definitions of f(x) and g(x) below, find the value of (f o g)(-1). f(x) = x² + 3x 11 |…

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Q: If f(x) find the following. 3x (a) What is f(3)? (b) What is f(6)?

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Q: Let f(x) = 3x – 1 and g(x) = x - 2. Find (fo g)(1). Then (fo g)(1) =. (Simplify your answer.)

A: Given: f(x) = 3x – 1 and g(x) = x2 – 2.

Q: 1 and g(z) 4. f(x) = %3D

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Q: Given the functions f and g below, find f(g(-3)). f(x) = –x² – 6x + 3 %D g(x) = -x – 3 %D

A: Given : fx = -x2 - 6x + 3gx = -x - 3

Q: The functions f and g are defined as follows. f(x) = 3x-3x g (x) = -5x-1 Find f(-3) and g(7).…

A: Given: f(x)=3x2-3x g(x)=-5x-1

Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

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Q: Given the definitions of f (x) and g(x) below, find the value of (g o f)(-1). f (x) = x² + 3x - 9…

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Q: Find functions f and g so that f • g = H. 73) H(x) = (5 – 2x3,2

A: Given H(x)= (5-2x3)2

Q: Use the given information to find f '(7). f(x) = g(x)h(x) g(7) = -7 and g'(7) = -8 = -4 and h'(7) =…

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Q: Use the functions f(x) = (1/8) x − 3 and g(x) = x3 to find the given value          ( f −1 ∘ f…

A: Given functions are fx=18x-3 and gx=x3. We have to find value of f-1o f1-2 We will find inverse of…

Q: Given f(x) =x2- 1, find the value f(p).

A: Given: f(x)=x2-1

Q: Use the functions f(x) = (1/8) x − 3 and g(x) = x3 to find the given value                (g−1 ∘…

A: f(x) = (1/8) x − 3   g(x) = x3  (g−1 ∘ g−1)(8) = ?   Let g-1(x) = y      => x = g(y)     => x…

Q: The functions f and g are defined as follows. f(x) = -4x² - 3 g (x) = 3x+4 Find f (3) and g (-6).…

A: f(x)=-4x2-3 and g(x)=3x+4 We have to find f(3) and g(-6)

Q: Let f (x) = |x – 3|. a. Is this statement TRUE or FALSE? |x – 3| = |x|+ |-3| = |x|+ |3||

A: Given f(x)=x-3 Check whether the statement is true or false x-3=x+-3=x+3

Q: Evaluate the indicated function, where f(x) = x2 − 3x + 2 and g(x) = 2x − 4. (fg)(−1)

A: Given,   f(x) = x2 − 3x + 2 and g(x) = 2x − 4

Q: Use the following equations: f(x)=3×-2 and (x)=x2-1  Evaluate:f(1)+g(2)

A: Use the following equations: f(x)=3×-2 and g(x)=x2-1  Evaluate: f(1)+g(2)

Q: Find F'(2) given that f(2) = 5, f'(2) = 6 , g(2) = -1, g'(2) = –7, and F(x) = f(x)g(x).

A: Given: f(2)=5f'(2)=6g(2)=−1g'(2)=−7andF(x)=f(x)g(x)

Q: Given that f(x) = 4x – 5, calculate fo f(-1)= Given that g(x) = 2 – x2, calculate go g(2)=

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Q: Given f(x) and g(x), evaluate f[g(2)]. f (x) = 2? – and g (x) = 3x + 2

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Q: The functionsƒand g are defined as follows. f(x) = 3x² – 3x g (x) = -2x-1 Find f(-4) and g (2).…

A: We can find both the answers as below.

Q: (a) Given the following functions f(x) = 5x² – 3x+ 20 and g(x) = 2x+3.Find i. f(g(x))

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Q: . Find f+g, f-g, fg and . 1 4 1. f(x) = , g(x) =12 2x' x+12

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Q: Given the function f(x) = 5x +7x- 5. Calculate the following values: f(0) = f(2) = f(- 2) = f(r +1)…

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Q: f f(x)= 3x^2 and g(x)=9-7x, find the following   (f*g)(x)= (f/g)(x)=

A: Given function :

Q: Find the value of x

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Q: Given f(x)= x² - x+5, find: a. f(-3) b. f(x+h), fully simplified c. the domain of f(x)

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

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Q: First find f' and then find f. f"(x) = - (4x3 + 10x² + 10x + 2), f'(1) = 9, f(1) = -7. f'(x) =

A: Given f''(x)=-4x3+10x2+10x+2f'(1)=9  and   f(1)=-7

Q: (1) For the function f(x) evaluate and simplify the following: x² + 3' (c) f(x² + 3) (4) fG - 1) (a)…

A: The detailed solution is as follows below:

Q: Let f(x) = 4x – 1 and g(x) = x + 4. Find (fo g)(6). Then (fo g)(6) = | - (Simplify your answer.)

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Q: f'(x)=3x^2-6x-3. =3(x-1)^2-6. For what values of x is f'(x)=0?

A: f'(x)=03(x-1)2-6=03(x-1)2=6 (x-1)2=63  (x-1)2=2 (x-1)=±2

Q: For the function​ f(x), find all values of a for which​ f(a) is the indicated value. f(x)=x-4/x+3…

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Q: given the function f and g below, find g(f(-1)). f(x) = 3x + 4 g(x) = 4x2 - 4x + 6

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Q: First find f' and then find f. f"(x) = 6x? – 10x³ + 2, f'(1) = -5, f(1) = -8. f'(x) = f(x) =

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Q: Given the functions f and g below, find g(f(-1)). f(x) = 3x + 4 g(x) = 4x2 - 4x + 6

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Q: Find the values of x for which f(x) = g(x). (Enter your answers as a comma-separated list.) f(x) =…

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Q: f (x) = x2 - 1 g(x) = x - 5 Which expression represents f(g(x))? O A x2 -5x + 24 O B x2 - 5x + 25 x2…

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Q: f(x) = 2x2 + 3x - 1 and g(x) = 2x -2 find the following (f*g)(-2)

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Q: If f(x)= x/1+g(x^2), and g(4) =0, g'(4) = -1, then f'(2)=?

A: Some rules of differentiation which you will use in solving this question:…

Q: Given the functions f(x) x2 -x, g(x) =find expressions for the following 10. |(x) 11. (g - f)(A)

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Q: 5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x5 + 4.x³, c = 9. (b) f(x) = 3t – , c =…

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Q: see attachment

A: Given functions

Q: Find f(-x) - f(x) for the given function f. Then simplify the expression: f(x) = x2 - 3x + 7.

A: We have to find f-x-fx where function is: fx=x2-3x+7 Finding f-x: Putting x=-x into the function, we…

Q: Given f(x) = (5/6) x - 3/4 , find the value(s) for x such that f(x) = - 7/16 .

A: Given: fx=56x-34 To Find: The value of x such that fx=-716

Q: Given the function f(x)=−8+x2f(x)=-8+x2, calculate the following values: f(x+1)=

A: Function

Q: Given that f(x) = x3 - 3x + 1 and g(t) = 2t - 3 Determine the following values: 2.f(g(-2))…

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Q: For the function​ f(x), find all values of a for which​ f(a) is the indicated value. f(x)=x-4/x+4…

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