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=(x-7)/(8) \\ y=(1)/(8)x-(7)/(8) \end{gathered}`

The inverse function (y) is:

`y=(1)/(8)x-(7)/(8)`