SOLUTION: Which is the inverse of the function f (x) = 3x - 1?
A. f^-1(x)= 1 / 3x - 1
B. f^-1(x)= x/3 + 1
C. f^-1(x)= x + 1 / 3
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-> SOLUTION: Which is the inverse of the function f (x) = 3x - 1?
A. f^-1(x)= 1 / 3x - 1
B. f^-1(x)= x/3 + 1
C. f^-1(x)= x + 1 / 3
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Question 212922: Which is the inverse of the function f (x) = 3x - 1?
A. f^-1(x)= 1 / 3x - 1
B. f^-1(x)= x/3 + 1
C. f^-1(x)= x + 1 / 3 Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! I have to admit that this method doesn't always work, but it works in this case. An inverse function is like "undo-ing" the function, in reverse order. What the function did, in this f(x) = 3x -1, was to start with x and multiply by 3 and subtract 1. What we need to do to "undo" this is do the OPPOSITE operations in REVERSE order. This means to do the OPPOSITE of subtracting 1, which is to ADD 1, and the OPPOSITE of multiplying by 3 is to DIVIDE by 3. So you get
If you want to see the other method that always works, just re-post the problem, and someone (or I!) will probably solve it for you.