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October 21, 2025, 08:17:00 pm
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Author Topic: composite functions  (Read 577 times)  Share 

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shaiga95

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composite functions
« on: August 12, 2012, 06:07:33 pm »
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how would you find the domain and range of arctan(cos(x))
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abeybaby

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Re: composite functions
« Reply #1 on: August 12, 2012, 07:25:59 pm »
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arctan(x) has a domain of R which means that there is no x value that this composite function wont "accept". so dom=R.

the range of cos(x) is [-1,1], which means that the only numbers we can input into arctan(x) will be from [-1,1]. therefore, the numbers 'generated' will be from [-pi/4,pi/4], and theres your range.
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shaiga95

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Re: composite functions
« Reply #2 on: August 12, 2012, 09:42:52 pm »
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thanks
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