Question

What is the inverse of the function f(x)=4x?

Answer 1

To find an inverse function:
1. Write the function.
2. Replace f(x) with y.
3. Switch x and y.
4. Solve for y.
5. Replace y with $f^{-1}(x)$

Now let's follow the steps above and do it.
1. f(x) = 4x
2. y = 4x
3. x = 4y
4. y = x/4
5. $f^{-1}(x) = \dfrac{x}{4}$