JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

f:[1,10] \rightarrow[1,10]

is a non-decreasing function and

g:[1,10] \rightarrow[1,10]

is a non-increasing function. Let

h(x)=f(g(x))

with

h(1)=1

. Then,

h(2)

View answer and explanation

Correct option: C

is equal to one

Option C (is equal to one) is correct because since f is non-decreasing and g is non-increasing, h(x) = f(g(x)) is non-increasing and h(1) = 1, implying h(x) is a constant function equal to 1.

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