SOLUTION: If f(x)= 5x+1, the what is its inverse function?

Algebra ->  Inverses -> SOLUTION: If f(x)= 5x+1, the what is its inverse function?      Log On


   

Question 96664: If f(x)= 5x+1, the what is its inverse function?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let y=f(x)
So,
y=5x%2B1

To get the inverse, let's solve for x

y=5x%2B1
5x%2B1=y
5x%2B1-1=y-1
5x%2B0=y-1
5x=y-1
x=%28y-1%29%2F%285%29
Replacing the x to y and y to x,
y=%28x-1%29%2F%285%29

THus, the inverse function, f%5E%28-1%29%28x%29=%28x-1%29%2F%285%29

Power up,
HyperBrain!