WHAT IS THE DOMAIN OF THE FUNCTION fx=(x+1)/(x^2 +2x-3)

Domain : R−{−1,3}

Range: R

Step-by-step explanation:

Equate the denominator(x2−2x−3) to zero, then solve the equation for x

→x2−2x−3=0

→x=−(−2)±√(−2)2−4⋅(1)⋅(−3)2⋅1

→x=1±2

⇒x=−1 and x=3

This means that, when x=−1 or 3, we have the x2−2x−3=0

Implying that f(x)=x0 which is undefined.

Hence, the domain is all real numbers except −1

and 3

Also written as Df=(−∞,−1)∪(−1,3)∪(3,+∞)

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol