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: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

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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: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

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: If f(x) = (x + 6)² then f(x + h) – f(x) = Ax + Bh + C h Find the constants A, B, and C. A= B= and C=

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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: 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: f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

A: We will find all the values as following.

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

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Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

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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: f(x+ h) – f(x) What is the constant term when is performed, and it is given that f(x) = x² – x.

A: Solve the function for get constant term

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: 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: (x) = x. What is g(x)? g(x)- (1,5) 15 f(x)

A: As per given by the question, there are given that; fx=x2, then find gx. There are also given that,…

Q: let f(x)=square root of 3x+9 g(x)=square root of x u=3x+9 thus f(x)=g(u) g'(u)=???????????????/

A: Explanation of the answer is as follows

Q: Given that f(x) = (x − 2)² and g(x) = 2 — 5x, find (a) (f+g)(-1)= (b) (f-g)(-1)= (c) (fg)(-1)= (d) ✔…

A: Given query is to find the value of the Indicated function operation.

Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: Write the product as a sum: 18 sin(38z) sin(23z) =

A: The given expression is: 18sin(38z)sin(23z)...(1) Note that the formula used is: 2sin α cos…