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Inverse Trigonometric Functions · Question 6 of 120

What is the domain of this f(x) = sin^-1(2x - 1)?

Question 6

EasyOriginal question

Let f(x)=sin⁡−1(2x−1)f(x) = \sin^{-1}(2x - 1).

What is the domain of this f(x)=sin⁡−1(2x−1)f(x) = \sin^{-1}(2x - 1)?

Options for question 6

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. −1≤2x−1≤1-1 \le 2x - 1 \le 1.

  2. 0≤x≤10 \le x \le 1.

Worth noting

[−π2,π2]\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] is the range.

Concept
Domain of a composite inverse function
Typical time
90 s
Your time
—
The rule this testsDomains and ranges
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Ten questions from Inverse Trigonometric Functions, at your own pace.

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