SOLUTION: Hello! I'm having some trouble with this inverse property. Can you help me? Use the Property of Inverse Functions to find f^-1(x). f(x) = (5-x)/6 thanks for your help!

Algebra ->  Functions -> SOLUTION: Hello! I'm having some trouble with this inverse property. Can you help me? Use the Property of Inverse Functions to find f^-1(x). f(x) = (5-x)/6 thanks for your help!      Log On


   

Question 198354: Hello!
I'm having some trouble with this inverse property. Can you help me?
Use the Property of Inverse Functions to find f^-1(x).
f(x) = (5-x)/6
thanks for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%285-x%29%2F6 Start with the given function.


y=%285-x%29%2F6 Replace f(x) with y.


x=%285-y%29%2F6 Swap x and y. The goal now is to solve for y


6x=5-y Multiply both sides by 6.


y%2B6x=5 Add y to both sides.


y=-6x%2B5 Subtract 6x from both sides.


So the inverse is