Question

If f(x) = x + 4 and g(x) = x2-1, what is (gºf)(x)?

Answer 1

`(x+4)^2-1`

Explanation:

We need to evaluate gOf. This basically means that we substitute the value of f(x) (i.e.; x+4) into g(x) in place of x.

`g(x)=x^2-1\\f(x)=x+4\\\therefore gof(x) = g(f(x))=g(x+4)=(x+4)^2-1`