Are 3x+33
_______
x+11 and 3 equivalent? Using complete sentences explain why or why not.

Are 3x+33
_______
x+11 and 3 equivalent? Using complete sentences explain why or why not.

@Mathematics

Question

Are  3x+33 
      _______
       x+11   and 3 equivalent? Using complete sentences explain why or why not.

@Mathematics

anonymous · Answer

Not equivalent since x=-11 returns no value for the fraction.

anonymous · Answer

0/0 is not 3

agreene · Answer

These are equivalent because if you do the division...

$$\frac{3x+33}{x+11}=3$$

anonymous · Answer

They are equivalent for all x not equal to -11

agreene · Answer

no..
$$\frac{3(x+11)}{x+11}$$
x+11 cancel
$$=3$$
these are the same thing.

anonymous · Answer

Plug in x=-11

agreene · Answer

I'm aware the fraction isnt defined at that point. However the fraction is also improper. you need to simplify before plugging in values.. and you will find that this is a horizontal line where y=3

anonymous · Answer

I know, I'm just pedantic.

agreene · Answer

a wrong pedantic.

anonymous · Answer

No. Equilvalence means it's correct across all of the domain.

agreene · Answer

It is.
You have to reduce improper functions before evaluating them.

agreene · Answer

http://www2.wolframalpha.com/input/?i=lim+x-%3E-11+%283x%2B33%29%2F%28x%2B11%29