Question 1047867


{{{f(x) = 5/((4/x) - 1)}}}.....first simplify

{{{f(x) = 5/(4/x - x/x)}}}

{{{f(x) = 5/((4- x)/x)}}}

{{{f(x) = 5x/(4- x)}}}

since denominator {{{4-x}}} cannot be zero and it will be if {{{x=4}}} we need to exclude {{{x=4}}}

so, the domain is:

{ {{{x}}} element {{{R}}} : {{{x<>4}}} }

or interval: ({{{-infinity}}},{{{4}}}) U ({{{4}}},{{{infinity}}})