SOLUTION: The inverse function of y = 3x - 5 is what?

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Question 249112: The inverse function of y = 3x - 5 is what?
Answer by chosenpoint(26)   (Show Source): You can put this solution on YOUR website!
To find the inverse of a function involving x and y, just replace the x's with y's, and the y's with x's, and solve for y once again:

y=3x-5 given

x=3y-5 replace the variables with one another

0=3y-5-x subtract x from both sides

-3y=-x-5 subtract 3y from both sides

y=(-x-5)/(-3) divide both sides by -3

y=(x+5)/3 simplify and final answer

If the original function had been f(x)=3x-5, you just need to replace f(x) with y before starting! :)

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