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} $ .