Question

Find f(g(x)) and g(f(x)).
f(x)=x²-2 and g(x)=√x+1

Answer 1

1. x - 1

2.
`√(x^2-1)`

Explanation:

`f(g(x)) = √(x+1)^2 - 2\\ = x + 1 - 2\\= x - 1`

`g(f(x)) =√(x^2-2+1)\\ = √(x^2-1)`