Chapter 7.4, Problem 3AYU

Suppose that $f\text{ and }g$ are two functions with the same domain. If $f\left(x\right)=g\left(x\right)$ for every $x$ in the domain, the equation is called $a\left(n\right)$ _________. Otherwise, it is called $a\left(n\right)$ equation.

To determine

The name of the equation of two functions $\text{f}$ and $\text{g}$ with same domain $x$. The name of the equation of the two functions if otherwise.

Answer to Problem 3AYU

Solution:

The name of the equation of two functions $f$ and $g$ with same domain $x$ is called as Identity. The name of the equation of the two functions if otherwise is called Conditional equation.

Explanation of Solution

Given:

Two functions $f$ and $g$.

Domain $x$

$f\left(x\right)=g\left(x\right)$

Calculation:

The name of the equation of two functions $f$ and $g$ with same domain $x$ is called as Identity.

The name of the equation of the two functions if otherwise is called Conditional equation.