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

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Question

If f(x) = 2x2 + 3, g(x) = 5x − 2, then find gof.

Sum

Solution

f(x) = 2x2 + 3, g(x) = 5x – 2
(gof) (x) = g(f(x)) = g(2x2 + 3)
= 5(2x2 + 3) – 2
= 10 x2 + 15 – 2
= 10 x2 + 13 

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Fundamental Functions
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Chapter 2: Functions - Exercise 2.1 [Page 31]
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