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1 vote
Given f(x) = ax – b, what is f-1(x)?

A) x+b/a

B) 1/ax-b

C) 1/ax+b

User Draegtun
by
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2 Answers

4 votes

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

User Turtaru
by
7.8k points
5 votes

ANSWER

The correct answer is A


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

Step-by-step explanation


Given
f(x)=ax-b.


We can find the inverse by taking the steps.


1. Let
y=ax-b


2. Interchange x and y


x=ay-b


3. Make y the subject



x+b=ay



(x+b)/(a)=y


The new function we got now is the inverse of f(x)



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




User Wouter Florijn
by
8.7k points

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