Answer: [tex]G(F(x)) = (2x-5)^2 + 1[/tex]
Step-by-step explanation:
We have the given the function F(x):
[tex]F(x) = 2x-5[/tex]
And we know that the function G(x) is this one:
[tex]G(x) = x^2 + 1[/tex]
Then, in order to find [tex]G(F(x))[/tex], the next step is to substitute the function [tex]F(x) = 2x-5[/tex] into the function [tex]G(x) = x^2 + 1[/tex].
Therefore, knowing this, we get that the answer is this:
[tex]G(F(x)) = (2x-5)^2 + 1[/tex]
