Question

determine la inversa de la función:

g(X)= 8X+3/ 5X-7

Answer 1

$Hola \\ \\ Sea~la~funci\acute{o}n: \\ \\ g(x)= \frac{8x+3}{5x-7} \\ \\ Su~inversa \\ \\ x= \frac{8y+3}{5y-7} \\ \\ x(5y-7)=8y+3 \\ \\ 5yx-7x=8y+3 \\ \\ 5yx-8y=3+7x \\ \\ y(5x-8)=3+7x \\ \\ \boxed{\boxed{y= \frac{7x+3}{5x-8}}} \\ \\ \mathbb{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Saludos!!$