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Find Gof And Fog When F : R → R And G : R → R Is Defined By F(X) = 2x + X2 And G(X) = X3

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प्रश्न

Find gof and fog when f : R → R and g : R → R is defined by  f(x) = 2x + x2 and  g(x) = x3

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उत्तर

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

f(x) = 2x + x2 and g(x) = x3

(gof) (x)

g (f (x))

g (2x+x2)

(2x+x2)3

(fog) (x)

f (g (x))

f (x3)

2 (x3)+(x3)2

=2x3+x6

 

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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 1.2 | पृष्ठ ४६

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