Question

DETERMINE A INVERSA DAS SEGUINTES FUNÇÕES:

A) f(x)= 3x-14/5 B) f(x) = 2x + 11

Answer 1

Para encontrar a inversa primeiro isolamos o "x" e depois invertemos as variáveis:

$y=3x-\frac{14}{5}\\\\3x=y+\frac{14}{5}\\\\3x=\frac{5y+14}{5}\\\\x=\frac{5y+14}{15}\\\\f^{-1}(x)=\frac{5x+14}{15}\\\\\\\\y=2x+11\\\\2x=y-11\\\\x=\frac{y-11}{2}\\\\f^{-1}(x)=\frac{y-11}{2}$