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The composition of functions is commutative. - Mathematics

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प्रश्न

The composition of functions is commutative.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Let f(x) = x2 and g(x) = x + 1

fog(x) = f((g(x))

= f(x + 1)

= (x + 1)2

= x2 + 2x + 1

gof(x) = g(f(x))

= g(x2)

= x2 + 1

Thus fog(x) ≠ gof(x)

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अध्याय 1: Relations And Functions - Exercise [पृष्ठ १७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 59 | पृष्ठ १७

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