Question

What function shares the same domain as y = 2√x?

a) y= √√2x
b) y=23√x
c) y=√x-2
d) y=3x-2

Answer 1

The function that shares the same domain as y=2sqrt(x) is y = sqrt(x-2).

Step-by-step explanation:

The function that shares the same domain as y = 2√x is option c) y = √x - 2.

To determine this, we need to consider the domain of the original function, which is x ≥ 0, since the square root of a negative number is undefined in real numbers. Option c also has the same domain, as the square root function is still defined for any x value greater than or equal to 0.

For example, if we substitute x = 3 into both functions, we get y = 2√3 = 2 √3 for the original function and y = √(3-2) = √1 = 1 for option c.