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  • Let D be the domain of the real-valued function f defined by f(x) = √(25 – x2). Then, write D.

Let D be the domain of the real-valued function f defined by f(x) = \sqrt {25 - x\textsuperscript{2}} . Then, write D.

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f(x) = \sqrt {25 - x\textsuperscript{2}}

Therefore, the function can be defined as:

\\25 - x\textsuperscript{2} \geq 0\\ or, x\textsuperscript{2} \leq 25\\ -5 \leq x \leq 5\\

Therefore, the given function has a domain of [-5, 5].

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infoexpert22

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