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 ∈ 
Domain x ∈ R
range of x2 - 4x + 3 is [-1, ∞)
- 1 ≤ x2 - 4x + 3 < ∞
≥ cot-1 (x2 - 4x + 3) > 0 Range y ∈ Create a free account to view solution
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