Question 103917
{{{(f+g)(x)}}} Start with the given combination



{{{f(x)+g(x)}}} Break up the combination



{{{(8-7x)+(-5x+5)}}} Plug in {{{f(x)=8-7x}}} and {{{ g(x)=-5x+5}}}



{{{(-7x-5x)+(5+8)}}} Group like terms



{{{-12x+13}}} Combine like terms



So {{{(f+g)(x)=-12x+13}}}


Notice the domain of both f(x) and g(x) is: x is the element of all real numbers (ie x can be any number for both of them). So the domain for {{{(f+g)(x)}}} is the same as the two functions f and g