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Question
If f(x) = 2x2 + 3, g(x) = 5x − 2, then find fog.
Sum
Solution
f(x) = 2x2 + 3, g(x) = 5x – 2
(fog) (x) = f(g(x)) = f(5x – 2)
= 2(5x – 2)2 + 3
= 2(25 x2 – 20x + 4) + 3
= 50x2 – 40x + 8 + 3
= 50x2 – 40x + 11
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Fundamental Functions
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