Question 225934: Determine if f(x) = (3x + 2) / 5 is one-to-one. If so, find its inverse.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Determine if f(x) = (3x + 2) / 5 is one-to-one. If so, find its inverse.
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Since f(x) = (3x + 2) / 5 is a line -- it is one-to-one.
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y = (3x + 2) / 5
Flip x and y:
x = (3y + 2) / 5
Solve for y:
x = (3y + 2) / 5
5x = 3y + 2
5x-2 = 3y
(5x-2)/3 = y
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Therefore the "inverse" of
f(x) = (3x + 2) / 5
is
f^-1(x) = (5x-2)/3
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