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Question

Find the domain and range of each function.

g(z)=4z2g(z)=\sqrt{4-z^2}

Solution

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Answered 2 years ago
Answered 2 years ago
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From the given function g(z)g(z), 4z2\sqrt{4-z^2} is defined for non-negative numbers. Given this, the value of z2z^2 should always be in the interval [4,4][-4,4]. Thus, the domain for the given function is [2,2][-2,2].

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