Question

Which value is in the domain of both y(x) = x^2 and y^2 = x, greater than 0, and common to both equations when substituted?

A) 0
B) 1
C) 2
D) 3

Answer 1

The values that are in the domain of both equations y(x) = x^2 and y^2 = x, greater than 0, and common to both equations are x greater than or equal to 0.

Step-by-step explanation:

To find the values that are in the domain of both equations y(x) = x^2 and y^2 = x, greater than 0, and common to both equations, we need to solve both equations simultaneously. Let's start with the first equation: y(x) = x^2.

For this equation, any value of x can be squared to get a positive value for y. So, the domain of the first equation is all real numbers, greater than or equal to 0.

Now, let's solve the second equation: y^2 = x. To find the values of y that are greater than 0, we can take the square root of both sides of the equation. The positive square root of x will give us the values of y that are greater than 0.

So, the domain of both equations that satisfy the given conditions is x ≥ 0.