what are the intervals on which this function is continous? f(x)=2x / (x+3)2?

Question

calculus question, i can't figure it out. please help!! step by step detail would be appreciated. looking for understanding not just the solution.

Answer 1

The only restriction on this function is that the denominator cannot be 0. So x cannot be -3. The function will be continous from (-infinity,-3) U (-3,infinity).

Answer 2

the function f(x)= 2x / (x+3)2 is continuous at all points except
x= -3

The term continuous denotes that there is a tangible slope at all points on the graph. In this case, there is a continuous line that goes on smoothly except when x= -3. Plugging in a 3 for x will make the function undefined. Undefined and continuity are like oxymorons, black and white, michael jackson and Tupac.

In calculus...continuity is made a lot more complicated for no adequately explored reason. A function is continuous if the limit as X approaches some number from the left is equal to the limit as X approaches the same number from the right. Also, the function must be differentiable at that point.

Answer 3

You can´t divide by zero so x+3 different zero x diff -3
The function is cont. for all numbers but -3