How do you find the domain and range of f(x)=(2x-3)/(x+2)?

1 Answer
JS
Jul 1, 2017

See below

Explanation:

The domain is all the values that x is allowed to take on. The only problem I have with this function is that I need to be careful not to divide by zero. So the only values that x can not take on are those which would cause division by zero. So I'll set the denominator equal to zero and solve; my domain will be everything else.

x+2=0
x=-2

So the domain of this function is everything from positive infinity to negative infinity except -2.

The range is all the values that y will take on. In this case, the range is all x.

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