the inverse of the function f(x)=4x

Answer 1

Hi Isabelle,

To find the inverse of a function, let's first start by writing the function as a y = equation so it's a little easier to work with.

y = 4x

Next, we want to find the inverse. The word inverse should make you think "switch", and that's the basis of the next step, which is to input y for all the x values and x for all the y values, to get to

x = 4y

Next, solve for y

y = x/4

This is your final inverse function, which should be written as

f^-1(x) = x/4

This might seem simple, but following these steps with more difficult problems will help you work through those without issues. Hope this helps!

Answer 2

y = f(x) = 4x

x = 4y

(1/4)x = y is the inverse