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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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