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What is domain of function 𝑓(𝑥)=𝑥12?

Question

What is domain of function 𝑓(𝑥)=𝑥12?

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Solution

The domain of a function is the set of all possible input values (often "x" values) which will output a real number.

The function given is 𝑓(𝑥)=𝑥^(1/2), which is the square root of x.

The square root of a number is only defined for non-negative numbers in the real number system. That means you can't take the square root of a negative number and get a real number.

Therefore, the domain of the function 𝑓(𝑥)=𝑥^(1/2) is all non-negative real numbers, or in interval notation, [0, ∞).

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