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If f(x) = 2x2 + 3, g(x) = 5x − 2, then find fog - Mathematics and Statistics

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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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Chapter 2: Functions - Exercise 2.1 [Page 31]
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