Question

If `f(x)=x^2+1` and `g(x)=x-2`, how do you find f[g(x)]?

Answer 1

`f[g(x)]=(x-2)^2+1=x^2-4x+4+1=x^2+4x+5`

Explanation:

To calculate `f(g(x))` you have to replace every occurence of `x` in `f(x)` with the formula of `g(x)`