CPM Homework Help : PC3 Problem 5-123

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Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem 5-123

5-123.

Write the equation of the inverse for each function.

$f(x)=−5(3)^{x−1}+8$
Step 1(a):
$x=-5(3)^{y-1}+8$
Step 2(a):
$x-8=-5(3)^{y-1}$
Step 3(a):
$\frac{x-8}{-5}=3^{y-1}$
Step 4(a):
$\log_3\left(\frac{x-8}{-5}\right)=y-1$

$g\left(x\right)=\frac{3}{x-6}-4$
Step 1(b):
$x=\frac{3}{y-6}-4$
Step 2(b):
$x+4=\frac{3}{y-6}$
Step 3(b):
$(x+4)(y-6)=3$
Step 4(b):
$y-6=\frac{3}{x+4}$

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