Classify the given function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. +9 h(x) = х - 6х-27 x? +9 Classify the function h(x) = Choose the correct answer below. X - 6x - 27 Root function Rational function O Polynomial function +9 The domain of h(x) = is 2 х -6х-27 (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 106E: For each graph, describe a polynomial function that could represent the graph. (Indicate the degree...
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Classify the given function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation.
* +9
h(x) =
2
х - 6х - 27
2 +9
Classify the function h(x) =
Choose the correct answer below.
2
х - 6х - 27
Root function
Rational function
Polynomial function
x? +9
The domain of h(x) =
is
2
х - 6x- 27
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Classify the given function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. * +9 h(x) = 2 х - 6х - 27 2 +9 Classify the function h(x) = Choose the correct answer below. 2 х - 6х - 27 Root function Rational function Polynomial function x? +9 The domain of h(x) = is 2 х - 6x- 27 (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)
Expert Solution
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h\left(x\right)=\frac{x^2+9}{x^2-6x-27}

as we can see here numerator and denominator are polynomial functions

so the function is a 

{\color{Red} Rational\:\:function}

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