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

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Question

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

Sum

Solution

f(x) = 2x2 + 3, g (x) = 5x − 2

(g ° g) (x) = g[g(x)]

= g(5x − 2)

= 5(5x − 2) − 2

= 25x − 12

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Algebra of Functions
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Chapter 6: Functions - Exercise 6.2 [Page 127]

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