Given #f(x)=3x+2# and #g(x)=x^2+4x#, how do you find (gof)(2)?
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To find ( (g \circ f)(2) ), first find ( f(2) ), then substitute the result into ( g(x) ).

Find ( f(2) ): [ f(2) = 3(2) + 2 = 6 + 2 = 8 ]

Substitute ( f(2) ) into ( g(x) ): [ g(8) = 8^2 + 4(8) = 64 + 32 = 96 ]
So, ( (g \circ f)(2) = 96 ).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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