# Let #f(x)=2x+3# and #g(x)=x^2-4# and #h(x)=x-3/2#, how do you find f(h(x))?

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To find ( f(h(x)) ), we first need to substitute ( h(x) ) into the function ( f(x) ). So, replacing ( x ) in ( f(x) ) with ( h(x) ), we get:

[ f(h(x)) = 2h(x) + 3 ]

Next, we'll substitute the expression for ( h(x) ) into the equation:

[ h(x) = \frac{x - 3}{2} ]

[ f(h(x)) = 2 \left( \frac{x - 3}{2} \right) + 3 ]

Now, we simplify:

[ f(h(x)) = x - 3 + 3 ]

[ f(h(x)) = x ]

So, ( f(h(x)) = 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.

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