SOLUTION: Consider the function f(x)= (7-x)/(x+6) +2 algebraically determine the domain and all intercepts?

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Question 907655: Consider the function f(x)= (7-x)/(x+6) +2 algebraically determine the domain and all intercepts?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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%2B6=0
x=-6
Domain : (-infinity,-6)U(-6,infinity)
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.
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Y-intercept : Set x=0 solve for f%28x%29.
f%280%29=%287-0%29%2F%280%2B6%29%2B2=7%2F6%2B2=7%2F6%2B12%2F6=19%2F6
(0,19/6)
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.
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X-intercept : Set f%28x%29=0 solve for x}
%287-x%29%2F%28x%2B6%29+%2B2=0
%287-x%29%2B2%28x%2B6%29=0
7-x%2B2x%2B12=0
19%2Bx=0
x=-19
(-19,0)