Question
Asked Nov 27, 2019
78 views

Consider the following function: 

g(x) = ((x^2)/(X^2)-4)

Identify the following:

a. Domain of the function

b. Intercepts of the function

c. Asymptotes if any exist

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Expert Answer

Step 1

According to the given information the given function is:

g(x)
2
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g(x) 2

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Step 2

For part (a)

Domain of a function is the set of all value for which function is defined.

In the given function, the function become nit defined when denominator becomes zero. So, exclude all those points by which denominator is becoming zero.

x2-4 0
х? %3 4
х3 +2
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x2-4 0 х? %3 4 х3 +2

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Step 3

So, at 2 and -2 the function is not defined so, domain of the g...

domain (g(x))= R-{-2,2}
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domain (g(x))= R-{-2,2}

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Tagged in

Math

Calculus

Functions