1. Inverses

Hello! I was doing some math problems... and I have come across something!
every time i solve f(g(x)) and g(f(x)) they are equal to x.

what is the relationship between functinos f and g?

2. Originally Posted by habibixox
Hello! I was doing some math problems... and I have come across something!
every time i solve f(g(x)) and g(f(x)) they are equal to x.

what is the relationship between functinos f and g?
If f[g(x)] = g[f(x)] = x, then f and g are inverses.

3. Originally Posted by skeeter
If f[g(x)] = g[f(x)] = x, then f and g are inverses.
thank you!
I have one more question. For a function to have an inverse, it has to pass the vertical and horizontal tests right?

4. For a relation to be a function it has to pass the vertical line test. For a relation to have an inverse it has to be a one to one function.