#Natural domain of a function

8 messages · Page 1 of 1 (latest)

tawdry flame
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Hello. I'm supposed to define the natural domain of a function. I got to this point and I'm stuck. I don't know what to do next. Can someone help me out? Many thanks.

natural_domain_1.png natural_domain_1_work.jpg
hybrid copperBOT
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fresh ginkgo
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Your first part is slightly wrong you can't go from 1/sin(x)-2>0 to straight sin(x) neq 0 that will overcount

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Better to rearrange as 1/sin(x)>2 or cosec(x)>2 now solve for that

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Finish up the condition for e^x as well that will give u a small interval log(2)<x<log(4)

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You should have a small small set of potential domain points

tawdry flame
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Thanks @fresh ginkgo