Can you help me find the domain? Using the appropriate theorems, explain why the function is continuous at every number in its domain.2x² - x - 2F(x) =x²+4O 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 theseFind the domain. (Enter your answer using interval notation.)DNEX

Given function, f(x)=2x2-x-2x2+4 Function is undefine if x2+4=0x2=-4x2=4i2x=±2i∉R

Answered: Using the appropriate theorems, explain…

Using the appropriate theorems, explain why the function is continuous at every number in its domain. 2x²-x-2 x² + 4 F(x) =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.5: Zeros Of Polynomial Functions

Problem 81E

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Question

Can you help me find the domain?

Using the appropriate theorems, explain why the function is continuous at every number in its domain.
2x² - x - 2
F(x) =
x²
+4
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
Find the domain. (Enter your answer using interval notation.)
DNE
X

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