Question

Sendo f(x) = 5 x + 7 e f(g(x)) = 10 x - 8, determine g(x)

Answer 1

Resposta: $g(x) = 2.x - 3$

Cálculo:

$f(x) = 5.x + 7\\\\f(g(x)) = 10.x - 8\\\\f(g(x)) = 5.g(x) + 7\\\\10.x - 8 = 5.g(x) + 7\\\\5.g(x) = 10.x - 15\\\\g(x) = \frac{10.x - 15}{5}\\\\g(x) = 2.x - 3$

Espero ter ajudado!