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43 votes
43 votes
If f(x)=3x-1/2,find f^-1(x)

1 Answer

8 votes
8 votes

Answer: x=3y-1/2 or y=(x+1/2)/3

Explanation:

f^-1(x) is just the inverse so all you need to do is switch x and y.

right now you have y=3x-1/2

so switch the x and y to get your answer of x=3y-1/2

if you're asked to solve for y, follow these steps:

1. x +1/2 = 3y-1/2 +1/2 -> x+1/2=3y

2. divide both sides by 3 -> (x+1/2)/3=y

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