Why does each perfect square have two square roots?

because the square root is limited in it's range to only positive values whereas the function flx 2 x^2 has a domain of both positive and negative values

Perfect squares don't have "two" square roots

Step-by-step explanation:

It's just 1 number that divides perfectly to get a perfect square.

For example, the sqr of 64 is 8. 64 doesn't have "two" square roots because 8 and 8 are the same thing.

It has one square root: therefore, it's a perfect square.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3