Posted by Maura on Tuesday, February 5, 2013 at 10:54pm.
Explain, using the theorems, why the function is continuous at every number in its domain.
F(x)= 2x^2x3 / x^2 +9
A) F(x) is a polynomial, so it is continuous at every number in its domain.
B) F(x) is a rational function, so it is continuous at every number in its domain.
C) F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain.
D) F(x) is not continuous at every number in its domain.
E) none of these
State the domain. (Enter your answer using interval notation.)

Calculus  Reiny, Tuesday, February 5, 2013 at 11:45pm
The numerator is defined for every value of x you choose,
the denominator is always positive, so there is no danger of us dividing by zero, which would have caused a discontinuity.
so continuous for all values of x
B)
Answer This Question
Related Questions
 math  Use a graph to determine whether the given function is continuous on its ...
 Calculus  Find all values of a, B so that the function f(x)=1 if x>3, f(x)=...
 Need help asap  I need help! Reasoning: Can a function have an infinite number ...
 Math (Calc.)  1.Use the IVT to explain why the following is true. If f ...
 algebra  2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x...
 Calculus  COnsider g(x)=(8)/(x6) on (6,13) (a) Is this function continuous on ...
 Calculus  COnsider g(x)=(8)/(x6) on (6,13) (a) Is this function continuous on ...
 Calculus  COnsider g(x)=(8)/(x6) on (6,13) (a) Is this function continuous on ...
 Math  Sarah has to go to her brother's baseball tournament that lasts for 4 ...
 Calculus  consider k(t)=(e^t)/(e^t7) on[7,7] Is this function continuous on ...
More Related Questions