Question

F(x)=x^2-2x+3 g(x)=x^2-2x-4 Find f(g(-2)

Answer 1

`f(g(-2))=11`

Explanation:

We are given the two functions:

`f(x)=x^2-2x+3\text{ and } g(x)=x^2-2x-4`

And we want to find:

`f(g(-2))`

We will find g(-2) first. So:

`g(-2)=(-2)^2-2(-2)-4=4+4-4=4`

Thus:

`f(g(-2))=f(4)`

Evaluate:

`f(4)=(4)^2-2(4)+3=16-8+3=11`

Therefore:

`f(g(-2))=11`