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Unformatted text preview: ..) you may try to nd 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 ) = 1-2 t Since we cannot take the square root of a negative number then: 1-2 t 0 so 1-2 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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