### Home > CALC > Chapter 5 > Lesson 5.3.3 > Problem5-136

5-136.
1. Find the inverse function, f −1 (x), for each of the following functions. Homework Help ✎

1. f(x) = log3x

2. f(x) = 62x

3. f(x) = π2

4. f(x) = ax + k

Start by solving for x.
y = log3x
x = 3y
Now 'rename the x and y'.

f −1(x) = 3x

Notice that y = π² is a horizontal line. What is the inverse of a horizontal line?

y = 62x
2x = log6y

$x=\frac{\text{log}_6y}{2}$

f −1(x) = ____________

Refer to hint in part (b).

Before you convert to a logarithm, subtract k from both sides.