# Explain, using the theorems, why the function is continuous at every number in its domain. F(x) =  2x2 − x − 5 x2 + 4     F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain.     F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. F(x) is not continuous at every number in its domain. none of these State the domain. (Enter your answer using interval notation.)

Question

Explain, using the theorems, why the function is continuous at every number in its domain.

F(x) =
 2x2 − x − 5 x2 + 4

F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain.     F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. F(x) is not continuous at every number in its domain. none of these