Question

find any real numbers for which the rational expression is undefined.
6x^3+7
________
4x^2+24x

Answer 1

the denominator is never zero, so it is defined for all real numbers

Answer 2

Are you trying to simplify 6x^3-7/4x^2+24x??

Answer 3

notice that for all \(x\) you have \(x^2\geq 0\) and so \(4x^2+24\geq 24\) meaning the denominator cannot be zero, so you have no worries here about dividing by zero

Answer 4

what would the answer be? im confued

Answer 5

Satellite, I think you didn't see the x in 24x in the denominator.

Isn't the denominator zero when x =0 or -6?

\[\frac{ 6x^3 -7 }{ 4x^2 + 24x } = \frac{ 6x^3 -7 }{ 4x(x+6) }\]