FunctionHard

Question

If f(x) = cot-1x  : R+ →
and g(x) = 2x - x2 : R → R. Then the range of the function f(g(x)) wherever define is

Options

A.
B.
C.
D.

Solution

f(x) = cot-1x  : R+ →
g(x) = 2x - x2    R → R
f(g(x)) = cot-1 (2x - x2), where x ∈ (0, 1]
hence f(g(x)) ∈

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