Mathematics, 21.01.2020 21:31 mantooth

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)?

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Answer from: bo4isbad

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,

g(x) = $\frac{1}{x+4}$

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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Answer from: GingerSnaps

G(x) = 1 / (x+4) is a modification of the "parent function" f(x) = 1/x, whose domain is the set of all real numbers other than x = 0 (cannot divide by zero). Similarly, the range of f(x) is "all real numbers other than y=0."

g(x) has the same graph as does f(x), with the exception that the graph of f(x) has been moved (translated) 4 units to the left. Whereas x could not = 0 before, now x cannot equal -4, because then the denom. of g(x) would be zero.

In this transformation the range remains the same from f(x) to g(x).
The graph of g(x) is transformed from its parent function, f(x). apply concepts involved in determin

The graph of g(x) is transformed from its parent function, f(x). apply concepts involved in determin

Answer from: Quest

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

Answer from: Quest

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove.

an inaccurate proof leads to errors, or stating results that are not accurate. which wil mess the probelm up you dont want this

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