Question

determine a função inversa de cada função dada por:Y=3x-2/4x+3​

Answer 1

Explicação passo-a-passo:

$y=\frac{3x-2}{4x+3}$

Troque as variáveis.

$x=\frac{3y-2}{4y+3}$

$x.(4y+3)=3y-2$

$4xy+3x=3y-2$

$3x+2=3y-4xy$

$3x+2=y.(3-4x)$

$\frac{3x+2}{3-4x}=y$

$y=\frac{3x+2}{3-4x}$

$f^{-1}(x)=\frac{3x+2}{3-4x}$