maybe someone can help me better then my professor can.:

why is this function continuous at every number in its domain.
F(x) =
2x^2 − x − 2/
x^2 + 4

State the domain.

Question

maybe someone can help me better then my professor can.:

 why is this function continuous at every number in its domain.
F(x) = 
2x^2 − x − 2/
x^2 + 4

State the domain.

anonymous · Answer

when i found the domain i ended up with x-1/x+2
why is this wrong

anonymous · Answer

Because the numerator is continuous as it is a polynomial and the denominator is also a polynomial that has no zeroes, then the domain is:$$]-\infty,+\infty[$$

anonymous · Answer

okay that makes sense, so what did i do lol

anonymous · Answer

tangle with it?

anonymous · Answer

probably so, Thank You much

anonymous · Answer

when you have a fraction, always look at the denominator first. If there are zeroes, then it is not continuous

anonymous · Answer

so maybe you can help me with this problem also:

For what value of the constant c is the function f continuous on (−infinity, infinity)?
f(x) =         cx2 + 5x	    	if x < 6
                  x3 − cx		if x ≥ 6


I dont understand the steps and finding this answer . the whole infinity thing throws me off

anonymous · Answer

Please, close the previous post and create a new one for your new question. Otherwise you cannot award medals again