Question

Asked Oct 17, 2019

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Step 1

**Part (a):**

** **

Domain of** f **

* *

The domain of the function is the set of input for which function is real and defined.

Take the denominator and compare to zero

Solve ** – 3 x^{2} + 27 = 0** given

* *

The point ** x = 3** and

Step 2

**Part (B)**

For rational function, the vertical asymptotes are the undefined points, also known as the zeros of the denominator, of the simplifies function. The undefined points are ** x = 3** and

Hence, the vertical asymptotes are ** x = 3** and

Step 3

**Part (c)**

** **

If denominator’s degree > numerator’s degree, the horizontal asymptotes is the

*X – axis:*** y = 0**.

If the degree is equal, the asymptote is *y *= numerator’s leading coefficient / denominators leading coefficient.

Here in the function:

The degree of the denominator = 2. The degree of the numerator is 2.

&n...

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