Question

1.
Sendo f(x) = 2x – 3 e g(x) = 4 – x²,    determine: a) f(g(x))                           b) g(f(x)).

 

Answer 1

$\boxed{f(g(x))=2(4-x^2)-3=8-2x^2-3=-2x^2+5}\\ \\ \\ g(f(x))=4-(2x-3)^2=4-(4x^2-12x+9)=4-4x^2+12x-9=\\ \\ -4x^2+12x-5$