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CAT 2025 Functions — Previous Year Question

Paper

CAT 2025

Section

Quantitative

Topic

Functions

Difficulty

Hard

Question

CAT 2025

Slot-3

For real values of xx, the range of the function f(x)=2x−32x2+4x−6f(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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