Question

Given f(x) figure out the following

Answer 1

See below

Explanation:

`f(g(2))=f(6\cdot2-8)=f(12-8)=f(4)=2(4)^2+1=2(16)+1=32+1=33`

`f(g(x))=f(6x-8)=2(6x-8)^2+1`

`g(f(x))=g(2x^2+1)=6(2x^2+1)-8=12x^2+6-8=12x^2-2`

`(g\circ g)(x)=g(g(x))=g(6x-8)=6(6x-8)-8=36x-48-8=36x-56`

`(f\circ f)(-2)=f(f(-2))=f(2(-2)^2+1)=f(9)=2(9)^2+1=2(81)+1=163`