हिंदी

Find Gof And Fog When F : R → R And G : R → R Are Defined By F(X) = X And G(X) = |X| .

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प्रश्न

Find gof and fog when f : R → R and g : R → R is defined by  f(x) = x and g(x) = |x| .

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उत्तर

Given, f : R → R and g : R → R
So, gof : R → R  and fog : R → R

 f(x) = x and g(x) = |x|

(gof) (x)

= g (f (x))

= g (x)

= |x|

fog) (x)

= f (g (x))

= f ( |x| )

= |x|

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अध्याय 2: Functions - Exercise 2.2 [पृष्ठ ४६]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.2 | Q 1.4 | पृष्ठ ४६

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