Question Let k(æ) T@1g#) if f(x) = 3x +2, g(æ) = 3x – 4, and h(x) = -a² – 2x +4, what is k' (1)? h(x)

Q: A table of values for f, g, f', and g' is given. X -8 -7 -6 f(x) g(x) f'(x) g'(x) -6 -8 -2 -7 -1 -7…

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Q: If f(x) = x + 7 and g(x) = x - 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an Question…

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Q: Find the inverse function

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Q: 5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) =…

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Q: . Determine a such that (x – i) is a factor of f(x)= x² + ax – 6.

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Q: 9) Given f(x)=x²-2 a) Find an expression for f¹ (f's inverse) b) Graph both f(x) and f¹(x) on the…

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Q: a) f(x)=−3x b) f(x)=3x+1 c) f(x)=3x d) f(x)=x3 e) f(x)=3−x

A: Consider the equation

Q: Find the inverse of the function, f (x) = 5x 1. %3D - Of(x) = -x +5 of ' (z) = + %3D of '(z) =+1 %3D…

A: Find the inverse

Q: F(X)= X-11 and 9(x) is defined by the table below %31 -10 -1 @Find (goFJ (1) BFind (Fog1)7)

A: The objective of the question is determine the composition of functions at given data.

Q: x+4 Find | dx (x-2)(x+5)(2x-1)

A: Here we use partial fraction to solve the integration.

Q: Let two functions be f (x) = Ax +3,9 (x) = Bæ? What are the possible values of A and B if (f o g)…

A: Put g(x) in place of x in f(x) first

Q: 8/x+21  How do I find the followings?  f (a) = f (a) + f (h) = f (a + h) =

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Q: If f (x) = , then f-1 (x) 3-2r 3-2г 4.-3 O 21-3 3-4 If f = {(1,2),(-2, 3) , (3,0) , (0, 1)}, then…

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Q: iven F(X) = 4X+3, 9(x)= X²-5 evaluate (90F)(1)

A: Given,  f(x)=4x+3, g(x)=x2-5

Q: Given: f(x) = 3x - 5 g(x) = x² + 10 Find: g(f(5)) = ?

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Q: x2 – 4 x2 - 9 Consider the function f (x) a) Find f' and f" and simplify both.

A: Given,           fx=x2-4x2-9

Q: EXAMPLE 3 If f(2) = 5, (4) = 6, and f(7) = -9, find f -'(6), f ·'(5), and f '(-9). SOLUTION -1 From…

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Q: 34. f(x)= x+2 2x+1,8(x) = √√x. (fog)(x) = 32 (*)(**)

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Q: Given f (x) = sin (z) and g (x) = x, the graph of the combined function h (x) = f (x) g (x) most…

A: Given  f(x) = sin(x) and g(x) = x

Q: x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

A: See the attachment

Q: The functions q and are defined as follows. g(x) = -2x+2 r(x) = -x² - 1 Find the value of g (r (5)).…

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Q: 3. Given f(x) = x² +6* + Solve for (2) f(3) (b) f(x +3) Is f(x+3) the same as f(x)+f(3)?

A: The given function is f(x)=x2+6x+9

Q: Match each function with its inverse. f (x) = 2x + 3 f (x) = 2z - 3 f (1) = 3- 2z f(z) = -3 - 2z…

A: We have to match each of the functions with their inverse functions. 1. f(x)=2x+32. f(x)=2x-33.…