Search any question & find its solution
Question:
Answered & Verified by Expert
If $f: \mathbb{R} \rightarrow \mathbb{R}$ is defined by $f(x)=3 x-4$, then $f^{-1}: \mathbb{R} \rightarrow \mathbb{R}$ is
Options:
Solution:
2609 Upvotes
Verified Answer
The correct answer is:
$\frac{x+4}{3}$
$\begin{aligned} & \text { Given } f(x)=3 x-4 \text {. Now let } y=f^{-1}(x) \Rightarrow f(y)=x \\ & \Rightarrow 3 y-4=x \Rightarrow 3 y=x+4 \\ & \Rightarrow y=\frac{x+4}{3} \Rightarrow f^{-1}(x)=\frac{x+4}{3}\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.