Question

Can someone help and explain to me how to solve this?

f^-1(4) when f(x) = 3x-4, all over 5

Answer 1

This is asking you to find the inverse when x = 4

Answer 2

To find the inverse, simply solve for "x" in terms of "y".

Answer 3

first finf the inverse of f(x) which is f^-1 x

Answer 4

Okay, so I would replace x with y? Or replace x with 4 and then x with y?

Answer 5

You have: \(\sf x=\color{blue}{\frac{3y-4}{5}}\)

1. multiply by 5 to both sides, you get \(\sf \color{purple}{5x = 3y-4}\)
2. add 4 to both sides, you get...

Can you finish it off from here?

Answer 6

Ohhh! okay thank you!

Answer 7

I understand it now.

Answer 8

Once you find your inverse function, put \(\sf \color{red}{4}\) everywhere you see a "x" and evaluate. And youre done.

Answer 9

Okay thank you so much :D