Question:medium

Let $f(x) = \sin^{-1}x$ and $g(x) = x - 2$. To define the composite function $f \circ g$, the largest domain of $g(x)$ has to be}

Show Hint

For inverse trigonometric functions like \( \sin^{-1} \) or \( \cos^{-1} \), the argument must always lie between $-1$ and $1$. Just set the inner function within these bounds to find the restricted domain.
Updated On: Jun 24, 2026
  • $[2, 5]$
  • $[1, 3]$
  • $[0, 2]$
  • $[-1, 3]$
  • $[-3, 3]$
Show Solution

The Correct Option is B

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