EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Inverse Trigonometric Functions · Question 22 of 120

Question 22

MediumOriginal question

What is the domain of cos⁡−1(2x+1)\cos^{-1}(2x + 1)?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Each inverse function must get an input from its domain: −1≤2x+1≤1-1 \le 2x + 1 \le 1.

  2. So −2≤2x≤0-2 \le 2x \le 0, so −1≤x≤0-1 \le x \le 0.

Worth noting

[−1,1][-1, 1] is the allowed range of 2x+12x + 1, not of xx.

Concept
Domain of a composite inverse function
Typical time
90 s
Your time
—
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.