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CAT 2025 Slot 3 — QA Question 15

Functions & GraphsMedium

For real values of xx, the range of the function f(x)=2x−32x2+4x−6f ( x ) = \frac { 2 x - 3 } { 2 x ^ { 2 } + 4 x - 6 } is

Answer & solution

Correct answer: \( \left( - \infty , \frac { 1 } { 8 } \right] \cup \left[ \frac { 1 } { 2 } , \infty \right) \)

  • A
    (−∞,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)
  • C
    (−∞,14]∪[12,∞)\left( - \infty , \frac { 1 } { 4 } \right] \cup \left[ \frac { 1 } { 2 } , \infty \right)
  • D
    (−∞,14]∪[1,∞)\left( - \infty , \frac { 1 } { 4 } \right] \cup [ 1 , \infty )

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CAT 2025 Slot 3 QA Q15 — Functions & Graphs solution | TheCATExam