Question

Find a formula for the inverse of the given function. f(x) = 8x + 7 y=______

Answer 1

Function given is

$f(x)=8x+7$

To find the inverse, we follow the steps:

1. change f(x) to y

2. Interchange x and y

3. Solve for new "y"

So,

we now have:

y = 8x + 7

Interchanging:

x = 8y + 7

Solving for y:

$\begin{gathered} x=8y+7 \\ x-7=8y \\ y=\frac{x-7}{8} \\ y=\frac{1}{8}x-\frac{7}{8} \end{gathered}$

The inverse function (y) is:

$y=\frac{1}{8}x-\frac{7}{8}$