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Question
If f(x) = 2x2 + 3, g(x) = 5x – 2, then find fof.
Sum
Solution
f(x) = 2x2 + 3, g(x) = 5x – 2
(fof) (x) = f(f(x)) = f(2x2 + 3)
= 2(2x2 + 3)2 + 3
= 2 (4x4 + 12x2 + 9) + 3
= 8x4 + 24x2 + 18 + 3
= 8x4 + 24x2 + 21
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Fundamental Functions
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