uestion 2 3 f (x) 4 f' (x) table above gives selected values for a differentiable and increasing function f and its derivative. Let g be the increasing function given by g(z) = f(2) + f(2z), where g(3) = f(3) + f(6) = 9. Which c owing describes a correct process for finding (g1) (9) ? (9-1) (9) = s and g' (3) = f' (3) +2f' (6) %3D g'o (9)) (9-1) (9) = 3) and g'(3) = f' (3) + f' (6) (9 ) (9) = g'(g(9)) = g'(3) and g'(3) = f' (3) + f (6) (9-1)'(9) = g'(g (9)) = g'(3) and g'(3) = f' (3) + 2f' (6)

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I have a question on a topic question from the AP Multiple Choice. I have a solution and I just want to verify it.

Question 2
3
6
f (x)
4
f' (x)
3
3
4
The table above gives selected values for a differentiable and increasing function f and its derivative. Let g be the increasing function given by g(x) = f(x) + f(2x), where g(3) = f(3) + f(6) = 9. Which of the
following describes a correct process for finding (g)'(9) ?
(A)
(9-1)'(9) =
gʻl 19)) = 73) and g' (3) = f' (3) + 2f' (6)
((6)1 5),6
g'(3)
(9-1)'(9) =
and g'(3) = f' (3) + f' (6)
1
%3D
%3D
g'(g (9))
g'(3)
C)
(9-1)'(9) = g'(g¬†(9)) = g'(3) and gʻ(3) = f' (3) + f' (6)
%3D
(9-1)'(9) = g'(g¬1(9)) = g'(3) and gʻ(3) = f' (3) + 2f' (6)
Transcribed Image Text:Question 2 3 6 f (x) 4 f' (x) 3 3 4 The table above gives selected values for a differentiable and increasing function f and its derivative. Let g be the increasing function given by g(x) = f(x) + f(2x), where g(3) = f(3) + f(6) = 9. Which of the following describes a correct process for finding (g)'(9) ? (A) (9-1)'(9) = gʻl 19)) = 73) and g' (3) = f' (3) + 2f' (6) ((6)1 5),6 g'(3) (9-1)'(9) = and g'(3) = f' (3) + f' (6) 1 %3D %3D g'(g (9)) g'(3) C) (9-1)'(9) = g'(g¬†(9)) = g'(3) and gʻ(3) = f' (3) + f' (6) %3D (9-1)'(9) = g'(g¬1(9)) = g'(3) and gʻ(3) = f' (3) + 2f' (6)
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