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Inverse Trigonometric Functions · Question 17 of 120

Question 17

MediumOriginal question

What is the domain of cos⁡−1(1−x)\cos^{-1}(1 - x)?

Options for question 17

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The input of the inverse function must lie in its domain: −1≤1−x≤1-1 \le 1 - x \le 1.

  2. −2≤−x≤0-2 \le -x \le 0, so 0≤x≤20 \le x \le 2.

Worth noting

[−2,0][-2, 0] forgets to turn the inequalities round when multiplying by −1-1.

Concept
Domain of a composite inverse function
Typical time
90 s
Your time
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The rule this testsDomains and ranges
Practise this chapter →

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

Practise this chapter →

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