Question

What is the domain of the function cos^–1 (2x – 3)?

Options

• [–1, 1]

• (1, 2)

• (–1, 1)

• [1, 2]

Answer 1

[1, 2]

Explanation:

Let, f(x) = cos^–1 (2x – 3)

∵ –1 ≤ 2x – 3 ≤ 1

`\implies` 2 ≤ 2x ≤ 4

`\implies` 1 ≤ x ≤ 2

∴ x ∈ [1, 2] or domain of x is [1, 2].