Question

se f(x)=3x-1 e f(g(x))=x, entao calcule g(x)​

Answer 1

$se \: f(x) = 3x - 1$

$f(g(x)) = 3 \times(g(x)) - 1$

PORTANTO, PARA f(g(x)) = X, temos:

$x = 3 \times (g(x)) - 1$

$g(x) = \frac{x + 1}{3}$

TIRANDO A PROVA:

$f(g(x)) = 3 \times (g(x)) - 1$

$f(g(x)) = 3 \times ( \frac{x + 1}{3} ) - 1$

$f(g(x)) = \frac{3x + 3}{3} - 1$

$f(g(x)) = x + 1 - 1 = x$