Question

What does the inverse of a function tell you?

Answer 1

The inverse function allows you to 'undo' a function.

Answer 2

f(g(x)) = g(f(x)) = x
like that?

Answer 3

yes

Answer 4

but taking the inverse of a function have any real life applications?

Answer 5

Yes.

Answer 6

Mostly in trig from what I've discovered.

Answer 7

inverse function are also symmetrical about y = x

Answer 8

Inverse function are important in physics. for example, you have a velocity vs/ time graph and you want to know the speed of a car at any time. The inverse function tells the opposite. it tells you the time when the car is at a certain velocity. In other woulds, the x and y axis are switched or the independent and dependent variables are switched.