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Let f(x) and g(x) be two continuous and ...

Let `f(x)` and `g(x)` be two continuous and differentiable functions from `R rarr R` such that `f(x_(1)) gt f(x_(2))` & `g(x_(1)) lt g(x_(2)) AA x_(1) gt x_(2)` then possible values of `x` satisfying `f(g(2x^(2)-8x)) gt f(g(x-4))` is/are

A

0

B

1

C

2

D

3

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B, C, D
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  • Let f be the continuous and differentiable function such that f(x)=f(2-x), forall x in R and g(x)=f(1+x), then

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    B
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    D
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  • Let f(x) be a twice differentiable function in (-oo, oo) such that f''(x)lt 0 AA x in R , g(x)=f(x)+f(1-x) and g'((1)/(4))=0 then

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