Question

dadas f(x)=2x+1 e f(g(x))=2x+9, calcule g(x)

Answer 1

$f(g(x)) = 2(g(x)) + 1 = 2x + 9 \\ \\ 2g(x) + 1 = 2x + 9 \\ 2g(x) = 2x + 9 \\ g(x) = \frac{2x + 9}{2} \\ g(x) = x + \frac{9}{2}$