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CAT 2022 Functions — Previous Year Question

Year

CAT 2022

Section

Quantitative

Topic

Functions

Difficulty

Medium

Question

Slot-1

Consider the real-valued function f(x)=log⁡(3x−7)2x2−7x+6.f(x) = \frac{\log(3x - 7)}{\sqrt{2x^2 - 7x + 6}}. Find the domain of f(x).f(x).

(73,∞)(\tfrac{7}{3}, \infty)

R−{73}R - \{\tfrac{7}{3}\}

R−{32,2}R - \{\tfrac{3}{2}, 2\}

R−{32,2,73}R - \{\tfrac{3}{2}, 2, \tfrac{7}{3}\}

(−∞,73)(-\infty, \tfrac{7}{3})

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