Find the range of f(x) = (3x - 2)/(x + 1).
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the range of .
Need a reminder? The key ideaShow
A function gives each input exactly one output. The domain leaves out zero denominators and negative numbers under even roots. For the range, solve for , or complete the square.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Solve for . , so and .
Step 2. The gap. This works for every except .
Answer: the range is .
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