Let #f(x)=2x+3# and #g(x)=x^2-4# and #h(x)=x-3/2#, how do you find f(g(3))?
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To find ( f(g(3)) ), first find ( g(3) ), then substitute the result into ( f(x) ).
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Find ( g(3) ): ( g(3) = (3)^2 - 4 = 9 - 4 = 5 )
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Substitute ( g(3) ) into ( f(x) ): ( f(g(3)) = f(5) )
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Substitute ( x = 5 ) into ( f(x) ): ( f(5) = 2(5) + 3 = 10 + 3 = 13 )
So, ( f(g(3)) = 13 ).
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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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