What is the domain and range of #y= (4x^2 - 9) / ((2x+3)(x+1))#?
See below.
Notice:
Changing this in the numerator:
Removing similar factors:
This can be stated as follows in set notation:
or using interval notation:
To determine the range:
Thus, the range can be stated as follows:
or
This is evident from the function's graph:
graph{(2x-3)/(x+1) [-16.23, 16.25, -32.48, 32.44]}
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The domain of the function ( y = \frac{{4x^2 - 9}}{{(2x + 3)(x + 1)}} ) is all real numbers except ( x = -1 ) and ( x = -\frac{3}{2} ). The range is all real numbers except ( y = 4 ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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