हिंदी

Let F(X) = X2 + X + 1 and G(X) = Sin X. Show that Fog ≠ Gof.

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प्रश्न

Let f(x) = x2 + x + 1 and g(x) = sin x. Show that fog ≠ gof.

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उत्तर

(fog) (x) = f (g (x)) = f(sin x) = sin2 x + sin  x + 1

and (gof) (x) = g (f (x)) = g  (x2+ x + 1) = sin ( x2+ x + 1)

So, fog ≠ gof.

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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 2 | पृष्ठ ५४

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