# Homework Help: Inverse Functions

1. Jan 21, 2008

### duki

1. The problem statement, all variables and given/known data

Show that f and g are inverse functions (a) analytically and (b) graphically.

f(x) = 5x+1
g(x) = (x-1)/5

2. Relevant equations

I've got (a), but I'm unsure at how to solve for (b).

3. The attempt at a solution

Here's my (a): $$f(g(x)) = 5(x-1/5) + 1 = x$$
How do I solve graphically?

Last edited: Jan 21, 2008
2. Jan 21, 2008

### NateTG

The inverse of a function is the function reflected across the line x=y.