FunctionHard

Question

The image of the interval R under the mapping f: R → R given by f(x) = cot-1 (x2 - 4x + 3) is

Options

A.
B.
C.(0, π)
D.

Solution

f(x) = cot-1 (x2 - 4x + 3),
Domain x ∈ R
range of x2 - 4x + 3 is [-1, ∞)
- 1 ≤ x2 - 4x + 3 < ∞
≥ cot-1 (x2 - 4x + 3) > 0   Range y ∈

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