Inverse Functions and Radical Equations

$$\frac{x}{3}$$  

$$\frac{3}{x}$$  

$$0.3x$$  

$$x\times3$$  

$$\frac{x}{7}$$  

$$\frac{7}{x}$$  

$$0.7x$$  

$$x\div\frac{1}{7}$$  

$$\frac{3}{x}$$  

$$3x$$  

$$\frac{x}{3}$$  

$$x\div3$$  

$$\frac{x-5}{1}$$  

$$\frac{x}{5}-1$$  

$$x-\frac{1}{5}$$  

$$\frac{x-1}{5}$$  

$$\frac{5x-3}{6}$$  

$$\frac{5\left(x-3\right)}{6}$$  

$$\frac{5x}{6}-3$$  

$$\frac{5x}{6}+3$$  

Inverse functions are reflections of each other over the line y = x.

You find the inverse by switching x and y in the equation.

The domain of a function always becomes the domain of its inverse.

The domain of a function always becomes the range of its inverse.

$$\sqrt{ab^3}$$  

$$\sqrt{a^2b^3}$$  

x = 2

x = 10

x = -2

x = -4

x = 4

x = 3

x = 1

x = 5