Question

Se f e g são funções tal que f(x) = 3x + 1 e f(g(x)) = 2x, determine g(x).

Answer 1

$\Large\boxed{\begin{array}{l}\sf f(x)=3x+1\\\sf f(g(x))=2x\\\sf f(g(x))=3g(x)+1\\\sf 2x=3g(x)+1\\\sf 3g(x)=2x-1\\\Large\boxed{\boxed{\boxed{\boxed{\sf g(x)=\dfrac{2x-1}{3}}}}}\end{array}}$