If the range of f\left(x\right)=\sqrt{mx} and the range of g\left(x\right)=m\sqrt{x} are the same, which statement is true about the value of m?

Step-by-step explanation:

The given functions are

and

If we analyse each function, we'll notice that the range of is all real numbers greater of equal than zero, because a square root can't give negative values.

The second funcion as the same range, all number greater or equal than zero, because it can't give a negative numbers, so they are ranges are the same.

However, their domains are

At this points, you may not notice the characteristic of , notice that the range of has to have a restriction for , it must be greater or equal than zero, otherwise the ranges won't be the same.

Therfore, must be positive to have equal range between these functions.

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