The graph of g(x) is transformed from its parent function, f(x). apply concepts involved in determining the key features of a rational function to determine the domain and range of the function, .

a. what is the domain of the function, g(x)?
b. what is the range of the function, g(x)?

  Domain of a function is defined by the x-values (Input values) and Range is defined by the y-values (output values).

Domain of the given function 'g' → (-∞, -4)∪(-4, ∞)

Range of the given function 'g' → (-∞, 0)∪(0, ∞)

  Function given in the function,

For x = -4, given function is not defined [Since, g(x) has the vertical asymptote at x = -4]

For y = 0, function 'g' is not defined [Since, g(x) has the horizontal asymptote at y = 0]

  Therefore, domain of the function will be all x- values except x = -4 Or (-∞, -4)∪(-4, ∞) and range of the function will be all y-values except y = 0 Or (-, 0)∪(0, ∞).

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