Let f, g : R → R be defined as: f(x) = |x − 1| and g(x) = cases e^x, & x 0 x + 1, & x 0 cases . Then the function f(g(x)) is

JEE Main 2024 Mathematics question

Let f, g : R → R be defined as: f(x) = |x − 1| and . Then the function f(g(x)) is

Answer: (A)

f(g(x)) = eˣ − 1 for x ≥ 0 and −x for x ≤ 0. Both pieces take every value in [0, ∞) (not one-one), and negative

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Question ID VK-011648