Domain of f∘g Where f(x) = sin⁻¹x... |JEE Main 2021

JEE MAIN 2021

26.02.21_S2

Question

Let $f(x)=\sin ^{-1} x$ and $g(x)=\frac{x^2-x-2}{2 x^2-x-6}$. If $g(2)=\lim _{x \rightarrow 2} g(x)$, then the domain of the function fog is :

Select the correct option:

$(-\infty,-2] \cup\left(-\frac{3}{2}, \infty\right]$

$(-\infty,-2] \cup(-1, \infty]$

$(-\infty,-2] \cup\left(-\frac{4}{3}, \infty\right]$

$(-\infty,-1] \cup[2, \infty)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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