Determine whether f is a rational function and state its domain. |x-6| f(x) = X+1 Is f(x) = |x-6| a rational function? %3D X+1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.6: Rational Functions
Problem 3SE: If the graph of a rational function has a removablediscontinuity, what must be true of the...
Question
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The function f is not a rational function and the domain is D =
{xx</
{xx>}.
B. The function f is not a rational function and the domain is D =
O C. The function f is not a rational function and the domain is D =
D. The function f is not a rational function and the domain is D =
The function f is not a rational function and the domain is D =
E.
(Use a comma to separate answers as needed.)
OF.
The function f is not a rational function and the domain is all real numbers.
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0801
Transcribed Image Text:Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function f is not a rational function and the domain is D = {xx</ {xx>}. B. The function f is not a rational function and the domain is D = O C. The function f is not a rational function and the domain is D = D. The function f is not a rational function and the domain is D = The function f is not a rational function and the domain is D = E. (Use a comma to separate answers as needed.) OF. The function f is not a rational function and the domain is all real numbers. Type here to search 0801
Determine whether f is a rational function and state its domain.
|x-6
f(x) =
X +1
|x-6|
Is f(x) =
a rational function?
X+1
A. It is not a rational function because x - 6| is not a polynomial.
B. It is a
nal function because it is a ratio of polynomials.
C. It is not a rational function because the denominator of f(x) is zero for x = 1.
D. It is a rational function because it is a ratio of functions of x.
Transcribed Image Text:Determine whether f is a rational function and state its domain. |x-6 f(x) = X +1 |x-6| Is f(x) = a rational function? X+1 A. It is not a rational function because x - 6| is not a polynomial. B. It is a nal function because it is a ratio of polynomials. C. It is not a rational function because the denominator of f(x) is zero for x = 1. D. It is a rational function because it is a ratio of functions of x.
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