Suppose that f and g are two functions with the same domain. If f(x)equalsg(x) for every x in the domain, the equation is called a(n) . Otherwise, it is called a(n) equation.

Identity; conditional

Explanation:

Identity functions are functions that returns the SAME value which was used in its argument. In this case, f(x) = g(x). Therefore f(x) = g(x) = x.

Conditional functions are conditions that evaluates the condition and returns DIFFERENT values all depending on the condition value. That is, in this case, f(x) is not equal to g(x) for every x domain.

So, while identity functions returns the same value, conditional functions returns different functions.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.