JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

g(x)=2 f\left(2 x^3-3 x^2\right)+f\left(6 x^2-4 x^3-3\right), \forall x \in R

and

f^{\prime \prime}(x)>0, \forall x \in R

, then

g(x)

is increasing in

View answer and explanation

Correct option: B

\left(\frac{-1}{2}, 0\right) \cup(1, \infty)

Option B (

\left(\frac{{-1}}{{2}}, 0\right) \cup(1, \infty)

) is correct because it represents the intervals where the derivative of g(x) is positive, indicating that g(x) is increasing.

More Questions from INCREASING & DECREASING

Practice All Chapter MCQs →

f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)