Question

I looked at a video about dividing by zero, but I dont understand this question. Couldnt x=-4 also be undefined?

(Explain in detail)

Answer 1

x = -4 is not undefined because f(x) = x+4 is in the top part, the numerator, not the denominator. So the value that makes f(x) = x + 4 zero does not result in a division by zero.

Indeed, if we try to evaluate (f/g)(-4), then we get

`\displaystyle\left( (f)/(g)\right)(-4) = (f(-4))/(g(-4)) = (-4+4)/(-4-3) = (0)/(-7) = 0,`

which does not involve a division by zero.

However, attempting to evaluate (f/g)(3) leads us to

`\displaystyle\left( (f)/(g)\right)(3) =(3+4)/(3-3) = (7)/(0),`

which involves a division by zero, and divisions by zero are undefined