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.)
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
Related questions
Question

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
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

