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Standard XII

Mathematics

Derivative from First Principle

If fx=x+1 a...

Question

If $f (x) = x + 1$ and $g (x) = x + 1$ , then find $g (g (x))$ .

{(x + 1)}^{2} + 1

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x^{2} + x + 2

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x + 2

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x^{3} + x^{2} + x + 1

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x^{2} + 2 x + 2

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Solution

The correct option is C $x + 2$
Given, $f (x) = x + 1$ and $g (x) = x + 1$
$∴ g (g (x)) = g (x + 1)$
$= (x + 1) + 1$
$= x + 2$

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If f(x)=x+1 and g(x)=x+1, then find g(g(x)).

The correct option is C x+2Given, f(x)=x+1 and g(x)=x+1∴g(g(x))=g(x+1)=(x+1)+1=x+2

If $f (x) = x + 1$ and $g (x) = x + 1$ , then find $g (g (x))$ .

The correct option is C $x + 2$
Given, $f (x) = x + 1$ and $g (x) = x + 1$
$∴ g (g (x)) = g (x + 1)$
$= (x + 1) + 1$
$= x + 2$