Find Domain and Range for f(x) = 1/(x^2 - x)

[rajishu07]

Find Domain and Range for:

[math]f(x) = \frac{1}{x^2 - x}[/math]

 

[Dr.Peterson]

[math]f(x) = \frac{1}{x^2 - x}[/math]

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If you have no idea what to do, you can start by factoring the denominator and thinking about when this function will not be defined.

Range in general is considerably harder, and there is no one universal method; I'll want to see what techniques you have learned.

 

[R.M.]

Domain: ask yourself what values x CANNOT be and build your domain from there.
Range: ask yourself what type of function you have; is it linear? quadratic? rational? etc.... Are there asymptotes? If so, where? Can you sketch a rough graph? This can go a long way towards determining a range.