Question

Given the following: f(x) = 3x - 7; g(x) = 13- 2x; and h(x) = 6x
h(g(g(x))) equals 13æ - 9.
True
False

Answer 1

We will see that:

h(g(g(x)) = -78 + 24x

Which means that the statement is false.

Is the statement true?

Here we have that:

g(x) = 13 - 2x

h(x) = 6x

Now we want to find the composition of functions:

h(g(g(x))

First, let's find g(g(x)) = 13 - 2*g(x) = 13 - 2*(13 - 2x) = 13 - 26 + 4x

g(g(x)) = -13 + 4x

Now let's evaluate h(x) in that:

h(g(g(x)) = 6*g(g(x)) = 6*(-13 + 4x) = -78 + 24x

This is not equal to what we have in the question, so we conclude that the statement is false.

If you want to learn more about composition of functions:

https://brainly.com/question/10687170

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