Explain, using the theorems, why the function is continuous at every number in its domain. 5 M(x) = 1 + O M(x) is a polynomial, so it is continuous at every number in its domain. O M(x) is a rational function, so it is continuous at every number in its domain. O M(x) is a composition of functions that are continuous, so it is continuous at every number in O M(x) is not continuous at every number in its domain. O none of these State the domain. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Explain, using the theorems, why the function is continuous at every number in its domain.
M(x) =
1 +
5
O M(x) is a polynomial, so it is continuous at every number in its domain.
O M(x) is a rational function, so it is continuous at every number in its domain.
O M(x) is a composition of functions that are continuous, so it is continuous at every number in its domain.
O M(x) is not continuous at every number in its domain.
O none of these
State the domain. (Enter your answer using interval notation.)
Transcribed Image Text:Explain, using the theorems, why the function is continuous at every number in its domain. M(x) = 1 + 5 O M(x) is a polynomial, so it is continuous at every number in its domain. O M(x) is a rational function, so it is continuous at every number in its domain. O M(x) is a composition of functions that are continuous, so it is continuous at every number in its domain. O M(x) is not continuous at every number in its domain. O none of these State the domain. (Enter your answer using interval notation.)
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We first determine the domain of M 

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