Let #f(x)=x^2-4# and #g(x)=4x#, how do you find #(f/g)(x)#?
See explanation.
The domain of the new function must be identified next.
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To find ( \left(\frac{f}{g}\right)(x) ), divide the function ( f(x) ) by the function ( g(x) ): [ \left(\frac{f}{g}\right)(x) = \frac{f(x)}{g(x)} ]
Substitute the given functions: [ \left(\frac{f}{g}\right)(x) = \frac{x^2 - 4}{4x} ]
This is the expression for ( \left(\frac{f}{g}\right)(x) ).
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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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