XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

The best questions to practice for XAT Exam are the actual XAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In XAT 2022 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original XAT Question paper is the best place to start off your XAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 23 : Consider the real-valued function .

Find the domain of f(x).

Correct Answer Choice C

Video Solution

Explanatory Answer

Video Explanation

Explanatory Answer

Given that, f(x) = \(\frac{\log (3 x-7)}{\sqrt{2 x^{2}-7 x+6}}\)
The log values should always be positive. So 3x - 7 > 0
=> 3x > 7
Or, x > \(\frac{7}{3}\)
The value in the root should always be positive and the value in the denominator should not be equal to zero.
\(2 x^{2}-7 x+6\) > 0
(x - 2)(2x - 3) > 0
x < 2 and x > \(\frac{3}{2}\)
Hence we have x > \(\frac{7}{3}\),x < 2 and x > \(\frac{3}{2}\)
Therefore we can say that x should be always greater than \(\frac{7}{3}\)
It is represented by (\(\frac{7}{3}\),∞)

The question is " Consider the real-valued function .

Find the domain of f(x). "

Hence, the answer is ''

Choice C is the correct answer.