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

Answer:
[tex]2x^{2}[/tex] - x + 5
Step-by-step explanation:
g(x)=x+1
f(x)=[tex]2x^{2}[/tex]-5x+8
f∅g(x)=2[tex](x+1)^{2}[/tex]-5(x+1) + 8
= 2([tex]x^{2}[/tex]+2x+1) - 5x - 5 + 8
= [tex]2x^{2}[/tex] +4x +2 - 5x +3
=[tex]2x^{2}[/tex] -x +5
:)