Question

Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g o f is

Answer 1

`x^2-2`

Explanation:

`(g \circ f)(x)`

`g(f(x))`

Replace
`f(x)` with
`x^2-3` since we are given
`f(x)=x^2-3`:

`g(x^2-3)`

Replace
`x` in
`x+1` with
`x^2-3` since
`g(x)=x+1`:

`(x^2-3)+1`

Group like terms together:

`x^2+(-3+1)`

Simplify:

`x^2+(-2)`

`x^2+-2`

`x^2-2`