Question

Find [f g](x) if g(x) = x + 1 and f(x) = 2x ^ 2 - 5x + 8

Answer 1

`2x^(2)` - x + 5

Explanation:

g(x)=x+1

f(x)=
`2x^(2)`-5x+8

f∅g(x)=2
`(x+1)^(2)`-5(x+1) + 8

= 2(
`x^(2)`+2x+1) - 5x - 5 + 8

=
`2x^(2)` +4x +2 - 5x +3

=
`2x^(2)` -x +5

:)