Answer:
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,+∞)
