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Mathematics 7 Online
OpenStudy (chris215):

if f(x)=(x^2-16)/(x+4) is continuous at x = -4, find f(-4).

OpenStudy (maddy1251):

\[f(-4)=(-4^{2}-16)/(-4+4)\]

OpenStudy (chris215):

I got 0 but my answer choices aare 4,-4,8,-8

OpenStudy (haleyelizabeth2017):

This doesn't make sense. It would be undefined anyways because 0 cannot be the denominator

OpenStudy (haleyelizabeth2017):

Wait, we need to simplify it first.

OpenStudy (chris215):

ok thanks ill just ask my teacher about it

OpenStudy (haleyelizabeth2017):

\[(x^2-16)=(x+4)(x-4)\] So then we are left with \[(x-4)\]\[(-4)-4\]\[-8\]:)

OpenStudy (haleyelizabeth2017):

Hopefully that helps lol

OpenStudy (chris215):

ohhh ok thanks so much

OpenStudy (maddy1251):

Thank you @haleyelizabeth2017

OpenStudy (haleyelizabeth2017):

No problem :)

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