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If F : R → R, G : R → Are Given by F(X) = (X + 1)2 and G(X) = X2 + 1, Then Write the Value of Fog (−3).

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प्रश्न

If f : R → R, g : R → are given by f(x) = (x + 1)2 and g(x) = x2 + 1, then write the value of fog (−3).

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उत्तर

\[\left( fog \right)\left( - 3 \right) = f \left( g \left( - 3 \right) \right)\]
\[ = f\left( \left( - 3 \right)^2 + 1 \right)\]
\[ = f\left( 10 \right)\]
\[ = \left( 10 + 1 \right)^2 \]
\[ = 121\]

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अध्याय 2: Functions - Exercise 2.5 [पृष्ठ ७३]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.5 | Q 18 | पृष्ठ ७३

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