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Given f(x) = ax – b, what is f-1(x)?

User Champer Wu
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2 Answers

22 votes
22 votes

x + b/a Replace f(x) with y, interchange x and y and solve for y.

User Premo
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22 votes
22 votes

Answer:


f^(-1) (x) =
(x+b)/(a)

Explanation:

let y = f(x) and rearrange making x the subject

y = ax - b ( add b to both sides )

y + b = ax ( divide both sides by a )


(y+b)/(a) = x

Change y back into terms of x with x =
f^(-1) (x) , then


f^(-1) (x) =
(x+b)/(a)

User IntegerWolf
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