So we conclude that the composition of functions f(x) and h(x) is:
f(h(x)) = 9x^2 - 24x + 15
How to find the composition of the two given functions?
First, we know the functions:
f(x) = x^2 - 1
g(x) = 2x
h(x) = 3x - 4
Now we want to find the composition f(h(x)). To do this, we first need to replace the variable "x" in f(x) by the function h(x), we will get:
f(h(x)) = (h(x))^2 - 1
Now we can replace h(x) by the actual function, so we get:
f(h(x)) = (h(x))^2 - 1 = (3x - 4)^2 - 1
Now we can simplify this, so we get:
f(h(x)) = (h(x))^2 - 1 = (3x - 4)^2 - 1 = 9x^2 - 24x + 16 - 1
f(h(x)) = 9x^2 - 24x + 15
So we conclude that the composition of functions f(x) and h(x) is:
f(h(x)) = 9x^2 - 24x + 15
If you want to learn more about the composition of functions:
https://brainly.com/question/10687170
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