Question

Determine the points at which the function is discontinuous and state the domain using interval notation

f(u)=(4-u^2)/(7u+7π-u^2-uπ)

Please help.

Answer 1

It is discontinuous where the denominator is zero, because division by zero is undefined.

so, where is
7u+7π-u^2-uπ
= 7(u+π)-u(u+π)
= (7-u)(u+π)
zero?

So the domain is all reals except those values.