# XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

###### XAT Previous Year Paper | XAT QADI Questions | Question 23

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Question 23 : Consider the real-valued function .

Find the domain of f(x).

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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.

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