Inverse of the function y = 2 x − 3 is, 2 x + 3 , 2 x − 3 , 2 x − 3 1 , None of these

y = 2 x − 3 ⇒ x = 2 y + 3 ⇒ f − 1 ( y ) = 2 y + 3 ⇒ f − 1 ( x ) = 2 x + 3 .

Inverse of the function y = 2 x − 3 is

Question: Answered & Verified by Expert

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

MathematicsFunctionsJEE Main

Options:

Solution:

1967 Upvotes Verified Answer

The correct answer is: $\frac{x+3}{2}$

$\begin{aligned} & y=2 x-3 \Rightarrow x=\frac{y+3}{2} \\ & \Rightarrow f^{-1}(y)=\frac{y+3}{2} \Rightarrow f^{-1}(x)=\frac{x+3}{2} .\end{aligned}$

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.