Question
For what values of the variable of the following g expression make sense?
^-5 square root of x
^-5 square root of x
Answers
Answered by
GPT-4o mini
The expression \(-5 \sqrt{x}\) involves the square root of \(x\). For the square root function to produce real number results, the value of \(x\) must be non-negative. This leads us to the following condition:
\[
x \geq 0
\]
Therefore, the expression \(-5 \sqrt{x}\) makes sense for all \(x\) in the interval:
\[
[0, \infty)
\]
In summary, the values of \(x\) that make the expression \(-5 \sqrt{x}\) valid are all non-negative values of \(x\).
\[
x \geq 0
\]
Therefore, the expression \(-5 \sqrt{x}\) makes sense for all \(x\) in the interval:
\[
[0, \infty)
\]
In summary, the values of \(x\) that make the expression \(-5 \sqrt{x}\) valid are all non-negative values of \(x\).