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Let g(x)=(f(x))^(2)+f(x)+19 where f(x)=|...

Let `g(x)=(f(x))^(2)+f(x)+19` where `f(x)=|x-2|^(2)+|x-2|-2` then number of single digit natural number of the range of `g(x)` is

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The correct Answer is:
0

Range of `f(x)=[-2,infty]`
`g(x)=(f(x)+3)^(2)+10`
Range of `g[11,infty]`
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