Grade Select GradeAlgebra
what is the domain of the following?a) y = √sin x b) √(((x-1)(x-5))/(x-3))
what is the domain of the following?
a) y = √sin x b) √(((x-1)(x-5))/(x-3))
1 Answer
Y RAJYALAKSHMI
Approved Tutor Answer11 Years agoa) √sin x is defined for sinx > =0, ie. x = [0, pi], [2pi, 3pi], [4pi, 5pi], ….
In general the domain x = [2n*pi, (2n+1)*pi] where n is an integer
b) √(((x-1)(x-5))/(x-3)) is defined for (((x-1)(x-5))/(x-3)) > = 0
ie. (((x-1)(x-5))(x-3)) > = 0
x # 3, x = [1,3), x >= 5
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