SOLUTION: f(x)=1/3x-2 I need to find inverse functions of F and F^-1 and graph

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Question 607175: f(x)=1/3x-2 I need to find inverse functions of F and F^-1 and graph
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Step 1: Replace with



Step 2: Solve for in terms of





Step 3: Swap positions of the variables:



Step 4: Replace with



You should be able to graph a straight line by yourself by now.

John

My calculator said it, I believe it, that settles it
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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=1/3x-2 I need to find inverse functions of F and F^-1 and graph
y=x/3-2
to find inverse, interchange x and y, then solve for y=F^-1
x=y/3-2
3x=y-6
y=3x+6
F^-1=3x+6
see graph below
Red curve is F and green curve is F^-1
+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C+x%2F3-2%2C3x%2B6%29+