Question 911767
Let {{{f(x) = 1/(x + 4) }}} and {{{g(x)= 8x/(x + 4)}}}
 

 
 {{{f (x) + g(x) = 1/(x + 4)+8x/(x + 4)= (1+8x)/(x + 4) }}}


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


 {{{f (x) -g(x) = 1/(x + 4)-8x/(x + 4)= (1-8x)/(x + 4) }}}


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



 {{{f (x)g(x) = 1/(x + 4)*8x/(x + 4)= 8x/(x + 4)^2 }}}

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



 {{{(f (x))/(g(x)) = (1/(x + 4))/(8x/(x + 4) ) = (x + 4)*1/(8x(x + 4))=(x + 4)/(8x(x + 4)) }}}


{x element R : {{{x<>-4}}} and {{{x<>0}}}}