What is the range of $3\cos^{-1} x$ ?

[0, \pi]

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[0, 3\pi]

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[-3, 3]

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\left[-\frac{3\pi}{2}, \frac{3\pi}{2}\right]

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

$[-3, 3]$ scales the domain; the 3 multiplies the angle, so it scales the range.

Ten questions from Inverse Trigonometric Functions, at your own pace.

Ten questions from Inverse Trigonometric Functions, at your own pace.

What is the range of 3cos⁡−1x3\cos^{-1} x3cos−1x?