SOLUTION: Given the function f(x)=2-1/7x Find a formula for the inverse function

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Question 891889: Given the function
f(x)=2-1/7x
Find a formula for the inverse function

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=2-1/7x becomes rendered f%28x%29=2-1%2F7x according to what you wrote, so not really sure what you want.

f%28x%29=2-1%2F%287x%29
If g is the inverse, then 2-1%2F%287%28g%28x%29%29%29=x
-1%2F%287g%28x%29%29=x-2
1%2F%287g%28x%29%29=2-x
7%2Ag%28x%29=1%2F%282-x%29
g%28x%29=1%2F%287%282-x%29%29
highlight%28g%28x%29=1%2F%2814-7x%29%29


---------------------WELL, YOU REALLY WANTED SOMETHING ELSE--------------------

f%28x%29=2-%281%2F7%29x, and you want the inverse of f.

Let g be the inverse of f.
2-%281%2F7%29g%28x%29=x, solve for g(x).