Question

what is domain of function f(x)=x1/2​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The domain of the function is the set of non negative real numbers

Given :

The function $\displaystyle \sf{ f(x ) = {x}^{ \frac{1}{2} } }$

To find :

The domain of the function

Solution :

Step 1 of 2 :

Write down the given function

Here the given function is $\displaystyle \sf{ f(x ) = {x}^{ \frac{1}{2} } }$

Step 2 of 2 :

Find domain of the function

$\displaystyle \sf{ f(x ) = {x}^{ \frac{1}{2} } }$

$\displaystyle \sf{ \implies f(x) = \sqrt{x} }$

The function is not defined when x < 0

Which gives the function is well defined when x ≥ 0

Hence domain of the function is the set of non negative real numbers