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If F : R → R is Defined by F(X) = 3x + 2, Find F (F (X)).

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Question

If f : R → R is defined by f(x) = 3x + 2, find f (f (x)).

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Solution

f (f (x)) = f (3x +2)

= 3 (3x +2) +2

= 9x + 6 + 2

 = 9x + 8

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Chapter 2: Functions - Exercise 2.5 [Page 74]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 2 Functions
Exercise 2.5 | Q 35 | Page 74

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