SOLUTION: Find the range and domain of the rational function f(x)=x+3\x-4

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Question 1076277: Find the range and domain of the rational function f(x)=x+3\x-4
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(x+3)/(x-4)

f%28x%29=%28x%2B3%29%2F%28x-4%29

Vertical asymptote at x=4. Branches of f go in different directions around this asymptote. Notice that for x extreme to left or to right, f approaches but never reaches 1.

Domain: Only EXCLUDED value is x=4.
Range: The only excluded value for f is at y=1.