If the range of f(x)= square root mx and range of g(x)=m square root x are the same ,which statement is true about the value of m

Options are not provided but if range of √mx and m√x are same then m must be greater than or equal to 0. ( m ≥ 0 )

Because if m is negative then m√x would be flipped over x-axis but √mx will be flipped over y-axis which cause different ranges.

So m ≥ 0 must be true.

Hope this helps.