FunctionHard

Question

The domain of definition of f (x) = is

Options

A.R / {-1,-2}
B.(-2, ∞)
C.R /{-1,-2,-3}
D.(-3, ∞) / {-1,-2}

Solution

Given f(x)
For numberator x + 3 > 0 ⇒ x > -3     .....(i)
and for denominator (x +1)(x + 2) ≠ 0
⇒         x ≠ - 1, -2     .....(ii)
From Eqs. (i) and (ii),
Domain is (-3, ∞)/{-1, -2}

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