Question 326329
The domain is all values of x where the f(x) makes sense.
In these cases, the concern is division by zero which is undefined.
{{{6/4x^3}}} is undefined when {{{x=0}}} so the domain is all x except {{{x=0}}}.
In interval notation, that's written,
({{{-infinity}}},{{{0}}}) U ({{{0}}},{{{infinity}}})
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.
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{{{(x+5)/(x^2-36 )}}}
Same issue here.
Find x when {{{x^2-36=0}}}
{{{(x+6)(x-6)=0}}}
{{{x= 0 +- 6}}}
In interval notation, that's written,
({{{-infinity}}},{{{-6}}}) U ({{{-6}}},{{{6}}}) U ({{{6}}},{{{infinity}}})