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Unformatted text preview: ..) you may try to ﬁnd this solution by using a diagram (sigh of relief). 5. (2 pts) Find the domain (in interval notation) for the following functions: (a) f ( t ) = √ 12 t Since we cannot take the square root of a negative number then: 12 t ≥ 0 so 12 t ≥ 1 ≥ 2 t ln(1) ≥ ln(2 t ) ≥ t ln(2) ≥ t Thus, the doman is (∞ , 0] (b) g ( x ) = sin( x ) 2+cos( x ) We have no restrictions for the numerator so we just have to check the denominator. Is there are a value such that 2 + cos ( x ) = 0? Well. .. that would mean that cos( x ) =2 and that never happens with real values. So the domain is the whole real line. Thus, the domain of g is (∞ , ∞ ). 2...
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 Fall '08
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 Calculus, Geometry, Sin, Complex number

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