Question

How do you inverse a function?

Answer 1

In mathematics, an inverse function is a function that reverses another function: if the function f applied to an input x gives a result of y, then applying the inverse function g to y gives the result x, and vice versa. i.e. f(x) = y, and g(y) = x. More directly, g(f(x)) = x, meaning g composed with f form an identity.
A function f that has an inverse is defined as invertible; the inverse function is then uniquely determined by f and is denoted by f −1, read f inverse. Superscripted "−1" does not refer to numerical exponentiation: see composition monoid for explanation of this notation.

Answer 2

http://en.wikipedia.org/wiki/Inverse_function

Answer 3

Given f(x) fins the inverse of f(x) (denoted as f^-1(x)_
Write the function f(x) as y = { expression with x }
Replace y with x and x with y.
Find y in terms of x
That will be your inverse function.

Answer 4

Example: f(x) = x + 3
Find f^-1(x)
y = x + 3
Replace y with x and x with y
x = y + 3
solve for y
Add -3 to both sides
x - 3 = y
The inverse function is: f^-1(x) = x - 3

Answer 5

Ok, that helps quite a bit. This is the sample one from my math class, would you mind explaining it? The way they did it kind of confuses me.

Thanks, I really appreciate it.

Answer 6

This explains it self...all you have to do is remember each step and do it...so let me give you an equation:
F(x) = 5x - 10
try solving it from what example showed you to do.

Answer 7

I got x+10/5 = f^-1(x)

Is that right?

Answer 8

@undeadknight26