Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
The answer to the first part is (4,1).
The answer to the second part is (11,2).
The graph of f(x) = 0.5sin(4x) is sketched below
<h3>Graph of trigonometric functions </h3>
From the question, we are to sketch the graph of the given trigonometric function.
The given trigonometric function is
f(x) = 0.5sin(4x)
The graph of f(x) = 0.5sin(4x) is sketched below
Learn more on Graph of trigonometric functions here: brainly.com/question/4987799
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The answer should be -192. I could explain in the comments if you would like. :)