Explain, using the theorems, why the function is continuous at every number in its domain. F(x) = 2x²-x-3 +9 O F(x) is a polynomial, so it is continuous at every number in its domain. O F(x) is a rational function, so it is continuous at every number in its domain. O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. O F(x) is not continuous at every number in its domain. none of these State the domain. (Enter your answer using interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Explain, using the theorems, why the function is continuous at every number in its domain.
F(x) =
2x²-x-3
x² +9
O F(x) is a polynomial, so it is continuous at every number in its domain.
O F(x) is a rational function, so it is continuous at every number in its domain.
O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain.
O F(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. F(x) = 2x²-x-3 x² +9 O F(x) is a polynomial, so it is continuous at every number in its domain. O F(x) is a rational function, so it is continuous at every number in its domain. O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. O F(x) is not continuous at every number in its domain. O none of these State the domain. (Enter your answer using interval notation.)
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,