Algebraically find the inverse function of f(x)=8x+9. f−1(x)=?

Answer 1

Hi,

I hope you are doing well!

To find the inverse of a function, the best way to do it is to switch the x and the y in f(x).

If

f(x) = 8x + 9

You can switch it so that it would look like this:

x = 8y + 9

Now isolate y algebraically

x = 8y + 9

x - 9 = 8y

(x-9)/8 = y

Now you can rewrite y as f-1(x)

f-1(x) = (x-9)/8

Hope this helps!

Answer 2

x = 8f^-1(x) + 9

x - 9 = 8f^-1(x)

(x - 9) / 8 = f^-1(x)