Question

The table below shows some inputs and outputs of the invertible function with domain all real numbers.

Find the following values:
Thanks :D

Answer 1

f⁻¹(-2) = 3 and f⁻¹(1) = 0.

Explanation:

By the definition of inverse functions:

`\displaystyle \text{If } f(a) = b\text{, then } f^(-1)(b) = a`

From the table, note that f(3) = -2.

Then by definition, f⁻¹(-2) = 3.

Likewise, f(0) = 1.

Then by definition, f⁻¹(1) = 0.