Question

3 – (UFBA) Se f (g (x) ) = 5x - 2 e f (x) = 5x + 4 , então g(x) é igual a:

Answer 1

$f[g(x)]=5x-2\\f(x)=5x+4\\\\f[g(x)]=5g(x)+4\\5x-2=5g(x)+4\\5x-2-4=5g(x)\\\\\boxed{g(x)=\frac{5x-6}{5}=x - \frac{6}{5}}$