Functions Question 135

Question: Inverse of the function $ y=2x-3 $ is

[UPSEAT 2002]

Options:

A) $ \frac{x+3}{2} $

B) $ \frac{x-3}{2} $

C) $ \frac{1}{2x-3} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ y=2x-3 $
Þ $ x=\frac{y+3}{2} $
Þ $ {f^{-1}}(y)=\frac{y+3}{2} $
Þ $ {f^{-1}}(x)=\frac{x+3}{2} $ .