# Question #5ce0c

May 20, 2017

See explanation.

#### Explanation:

To find the inverse function you can do the following:

1. Write the formula of $y = f \left(x\right)$.

2. Transform it to calculate $x$ as $f \left(y\right)$

The function you get in 2. is the inverse function.

Here we have:

$y = {2}^{x} - 3$

${2}^{x} = y + 3$

$x = {\log}_{2} \left(y + 3\right)$

Now we can change the letters $x$ and $y$ to get the function in the usual form with $x$ as independent variable: