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Rewrite the expression to identify what needs to be solved for:
[tex]\[ \sqrt{-x^2+25} \][/tex]

What is the domain of the expression [tex]\(\sqrt{-x^2+25}\)[/tex]?


Sagot :

To simplify the expression [tex]\( \sqrt{-x^2 + 25} \)[/tex], follow these steps:

1. Identify the Expression Inside the Square Root:
The expression inside the square root is [tex]\( -x^2 + 25 \)[/tex].

2. Rearrange the Expression Inside the Square Root:
Notice that [tex]\( -x^2 + 25 \)[/tex] can be rewritten by rearranging the terms to:
[tex]\[ 25 - x^2 \][/tex]

3. Substitute Back into the Square Root:
Substitute the rearranged expression back into the square root, giving:
[tex]\[ \sqrt{25 - x^2} \][/tex]

Therefore, the simplified expression is:
[tex]\[ \sqrt{25 - x^2} \][/tex]