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If F(X) = |X|, Prove that Fof = F.

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प्रश्न

If f(x) = |x|, prove that fof = f.

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उत्तर

If f(x) = |x|, prove that fof = f.

(fof) (x) = f (f (x)) = f (|x|) = | |x| | = |x| = f (x)

So,

(fof) (x) = f (x), ∀x ∈ R

Hence, fof = f

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अध्याय 2: Functions - Exercise 2.3 [पृष्ठ ५४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.3 | Q 3 | पृष्ठ ५४

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