JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

f(x)

and

g(x)

are two positive and increasing functions, then

View answer and explanation

Correct option: D

f(x)>1

, then

(f(x))^{g(x)}

is increasing

Option D is correct because if

f(x) > 1

, then

\log(f(x)) > 0

, and since

f(x)

and

g(x)

are positive and increasing,

(f(x))^{g(x)}

is also increasing.

More Questions from INCREASING & DECREASING

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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)