Question
Asked Nov 22, 2019
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Let f(x)=5x/x-3
(a) State the domain. Answer: 
(b) State the vertical asymptote(s). Answer: 
(c) State the horizontal asymptote. Answer:

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Expert Answer

Step 1

Consider the given function.

5x
f(x)
x-3
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5x f(x) x-3

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Step 2

Part (a):

Domain: The domain of a function f(x) is the complete set of possible values of the independent variable.

Now to find the domain of the given function f(x):

Begin by setting the denominator equal to zero and solve for x, we get

x – 3 = 0

x = 3

Therefore, the domain of the function is all real numbers except x = 3.

Step 3

Part (b):

Vertical asymptotes: A vertical asymptote represents a value at which a rational function f(x) is undefined.

Now to find the vertical asymptotes of the given function f(x):

P...

x = 3
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x = 3

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