Exercise
Determine the domain of the function:
f(x)={(-x)}^{\frac{5}{2}}
Final Answer
Solution
Let’s find the domain of the function:
f(x)={(-x)}^{\frac{5}{2}}
We rearrange it:
f(x)={(-x)}^{\frac{5}{2}}=\sqrt{{(-x)}^5}
Since we have a square root, we require the expression inside the root to be non-negative:
{(-x)}^5\geq 0
And this holds when
-x\geq 0
x\leq 0
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