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KATRIN_1 [288]
4 years ago
10

Determine the equations of the vertical and horizontal asymptotes, if any, for f(x)=2x/x+4

Mathematics
1 answer:
slamgirl [31]4 years ago
7 0

Answer:

Vertical asymptote:x=-4

Horizontal asymptote: y=2

Step-by-step explanation:

The given rational function is

f(x)=\frac{2x}{x+4}

To find the vertical asymptote we equate the denominator to zero and solve for x.

x+4=0

The equation of the vertical asymptote is

x=-4

To find the horizontal asymptote we take limit to infinity. Or simply express the coefficient of x in the numerator over the coefficient of x in the denominator since this is a proper rational function.

The horizontal asymptote has equation

y=\frac{2}{1} =2

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