Question

Determine the domain and range of the following function. Record your answers in set notation. The domain is {x∈R| x≠−5}, and the range is {y∈R| y≠−2}. The domain is {x∈R| x≠−2}, and the range is {y∈R| y≠−5}. The domain is all real numbers, and the range is all real numbers as well. The domain is {x∈R| x≠−3}, and the range is {y∈R| y≠−5}.

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Domain of a function is represented by the set of x-values (Input values) and Range of the function is represented by the set of y-values (Output values)

From the graph attached,

Given function is,

$f(x)=\frac{x^2-x-6}{x+2}$

Domain of this function will be {x ∈ R | x ≠ -2}

[Since, point x = -2 doesn't lie on the given graph]

Range of the function will be {y ∈ R | y ≠ -5}  

Therefore, Option (2) will be the correct option.