Let f(x)=\sin ^{-1} x and g(x)= {x^{2}-x-2}/{2 x^{2}-x-6}. If g(2)=\lim_{x \to 2} g(x), then the domain of the function x \to g is [26 Feb 2021 Shift 2]

Correct Answer is : (−∞,−2]∪[−43,∞)

(-\infty,-2] \cup[-\frac{3}{2}, \infty)

(-\infty,-2] \cup[-\frac{4}{3}, \infty)

JEE Main 26 Feb 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 66 of 89

Marks: +1, -0

Let f(x)=sin−1x and g(x)=‌

x2−x−2

2x2−x−6

.
If g(2)=

lim

x→2

g(x), then the domain of the function x→g is

[26 Feb 2021 Shift 2]

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