Question

Suppose that f 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(n) ____. Otherwise, it is called a(n) _____ equation.

Short answer

Suppose that f 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(n) identity . Otherwise, it is called a(n) Conditionalequation.

Step-by-step solution

Given information

Suppose that f 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(n) _____ . Otherwise, it is called a(n) ______ equation.

Filling in the blanks we get,

Suppose that f 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(n) Identity . Otherwise, it is called a(n) Conditional equation.