please please ans asap urgent.............Find the domain of the following function: a) f(x) = root x^2 - root 9 ------ root is in upper both x^2 - 9 b) g(x) = 1 - I x - 4 I c) h(x) = x+7/ x^2 -6x+4
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Answer:
a) f(x) = √(x² - 9)
domain: x²-9 ≥ 0
(x+3)(x-3) ≥ 0
So, x = (-♾️, -3] U[3,♾️]
b) domain: x belongs to R (real no.)
c) Here,
x²-6x +4 ≠ 0
x≠(6 ± √20)/2
x≠(3 ± √5)
x≠(3-√5), (3+√5)
So, x = (-∞, 3-√5) U (3-√5, 3+√5) U (3+√5,∞)
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