Question

If f(x) = 3x– 2 and g(x) = x^2– 5, what is g(f(2))?

Answer 1

`\large\boxed{g\bigg(f(2)\bigg)=11}`

Explanation:

`f(x)=3x-2,\ g(x)=x^2-5\\\\g\bigg(f(2)\bigg)=?\\\\\bold{STEP\ 1:}\\\text{Calculate}\ f(2).\\\text{Substitute}\ x=2\ \text{to}\ f(x):\\\\f(2)=3(2)-2=6-2=4\\\\\bold{STEP\ 2:}\\\text{Substitue}\ x=4\ \text{to}\ g(x):\\\\g(4)=4^2-5=16-5=11`