### Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem5-123

5-123.

Write the equation of the inverse for each function.

1. $f(x)=−5(3)^{x−1}+8$

$x=-5(3)^{y-1}+8$

$x-8=-5(3)^{y-1}$

$\frac{x-8}{-5}=3^{y-1}$

$\log_3\left(\frac{x-8}{-5}\right)=y-1$

1. $g\left(x\right)=\frac{3}{x-6}-4$

$x=\frac{3}{y-6}-4$

$x+4=\frac{3}{y-6}$

$(x+4)(y-6)=3$

$y-6=\frac{3}{x+4}$