Let $f(x) = |x - 2|{\rm{ }}\,\,{\rm{and}}\,\,{\rm{ }}g(x) = f(f(x)),x \in [0,4].$ Then $\int_0^3 {(g(x) - f(x))\,dx} $ is equal to

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x) = |x - 2|\mathrm{ }\,\,\mathrm{and}\,\,\mathrm{ }g(x) = f(f(x)),x \in [0,4].

Then

\int_0^3 {(g(x) - f(x))\,dx}

is equal to

View answer and explanation

Correct option: D

Option D (1) is correct because evaluating the integral of the difference between g(x) and f(x) over the given interval yields 1.

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