Question

If F(x) = 2x-5 and G(x) = x2 + 1, what is G(F(x))?

Answer 1

Answer:
`G(F(x)) = (2x-5)^2 + 1`

Explanation:

We have the given the function F(x):

`F(x) = 2x-5`

And we know that the function G(x) is this one:

`G(x) = x^2 + 1`

Then, in order to find
`G(F(x))`, the next step is to substitute the function
`F(x) = 2x-5` into the function
`G(x) = x^2 + 1`.

Therefore, knowing this, we get that the answer is this:

`G(F(x)) = (2x-5)^2 + 1`