Question 907655
Domain is all values of x for which the function is defined.
All values are allowed except ones that make the denominator equal zero since division by zero is undefined.
{{{x+6=0}}}
{{{x=-6}}}
Domain : ({{{-infinity}}},{{{-6}}})U({{{-6}}},{{{infinity}}})
.
.
.
Y-intercept : Set {{{x=0}}} solve for {{{f(x)}}}.
{{{f(0)=(7-0)/(0+6)+2=7/6+2=7/6+12/6=19/6}}}
(0,19/6)
.
.
.
X-intercept : Set {{{f(x)=0}}} solve for {{{x}}}}
{{{(7-x)/(x+6) +2=0}}}
{{{(7-x)+2(x+6)=0}}}
{{{7-x+2x+12=0}}}
{{{19+x=0}}}
{{{x=-19}}}
(-19,0)