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in Sets, Relations and Functions by (27.7k points)
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Mark (√) against the correct answer in the following: 

Let \(f(x)=\frac{sin^{-1}x}{x}\). Then, dom (f) = ? 

A. (-1, 1) 

B. [-1, 1] 

C. [-1, 1] – {0} 

D. none of these

1 Answer

+1 vote
by (25.7k points)
selected by
 
Best answer

Correct Answer is (B) [-1, 1]

Given: \(f(x)=\frac{sin^{-1}x}{x}\)

From f(x), x ≠ 0

Now, domain of sin-1x is [-1, 1] as the values of sin-1x lies between -1 and 1.

We can see that from this graph:

Domain of f(x) = [-1, 1] – 0

Hence, B is the correct answer.

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