SOLUTION: Determine the domain and range of the function f(x)=(3/(x−2))+1

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Question 1045576: Determine the domain and range of the function f(x)=(3/(x−2))+1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f approaches 1 as x tends either toward negative infinity or positive infinity.

The rational part becomes increasingly large but negative as x approaches 2 from the left; but increasingly large and positive as x approaches 2 from the right. RANGE IS ALL REAL NUMBERS.

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C3%2F%28x-2%29%2B1%29

f is undefined for x at 2, so that tells you the domain.