Question

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

Answer 1

M can be any positive real number.

Explanation:

From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve

From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.

Given we concluded that the range of f(x) can only be  0 or positive, then me can only be 0 or positive.