फलन (f(x)=\frac{7x+4}{2x-3}) का परिसर क्या है?
What is the range of (f(x)=\frac{7x+4}{2x-3})?
Explanation opens after your attempt
Correct Answer
A. \( \mathbb{R}\setminus{\frac{7}{2}} \)
Concept
From \(y=\frac{7x+4}{2x-3}\), \(x=\frac{3y+4}{2y-7}\), so \(y\ne \frac{7}{2}\). In a linear fractional function, remove the impossible (y).
Why this answer is correct
The correct answer is A. \( \mathbb{R}\setminus{\frac{7}{2}} \). From \(y=\frac{7x+4}{2x-3}\), \(x=\frac{3y+4}{2y-7}\), so \(y\ne \frac{7}{2}\). In a linear fractional function, remove the impossible (y).
Exam Tip
\(y=\frac{7x+4}{2x-3}\) से \(x=\frac{3y+4}{2y-7}\), इसलिए \(y\ne \frac{7}{2}\)। रैखिक भिन्न फलन में असंभव (y) को हटाएं।
Login to save your score, XP, coins and progress.