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CAT 2025 Functions — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Functions

Difficulty

Hard

Question

Slot-3

For real values of xx, the range of the function f(x)=2x32x2+4x6f(x) = \frac{2x-3}{2x^2+4x-6} is

(,18][1,)\left(-\infty, \frac{1}{8}\right] \cup [1, \infty)

(,18][12,)\left(-\infty, \frac{1}{8}\right] \cup \left[\frac{1}{2}, \infty\right)

(,14][12,)\left(-\infty, \frac{1}{4}\right] \cup \left[\frac{1}{2}, \infty\right)

(,14][1,)\left(-\infty, \frac{1}{4}\right] \cup [1, \infty)

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