Which function has the same domain as y=2 square root x

We are given the function
y = 2 √x

We are asked for the function that has the same domain as the given function

First, the domain for the given function is this
{ x | x ≥ 0 }

So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x

Answer Link

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-02-07T13:20:13+01:00

Domain of a function is the set of all the possible input values which are valid for that function.

The function that has the same domain as the given function is,

[tex]y=4\sqrt x\\[/tex]

What is domain of function?

Domain of a function is the set of all the possible input values which are valid for that function.

Given information-

The given equation in the problem is,

[tex]y=2\sqrt{x}[/tex]

To find the domain of the above function equate the radiant in [tex]\sqrt{x}[/tex] to the grater than or equal to zero as,

[tex]\sqrt{x}\geq0\\x\geq0[/tex]

Thus interval of domain of the above function is [tex](0,\infty)[/tex]. The domain of the above equation is,

[tex][x|x\geq0][/tex]

Now the function which may have the same domain as the above function are,

[tex]y=4\sqrt x\\[/tex]

Hence the function that has the same domain as the given function is,

[tex]y=4\sqrt x\\[/tex]

Learn more about the domain of the function here;

https://brainly.com/question/1770447