MCQMediumJEE Main 2023 · 13 April, Shift 1Composition & Inverse Functions

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

For xRx \in \mathbb{R}, two real valued functions f(x)f(x) and g(x)g(x) are such that,

g(x)=x+1andfg(x)=x+3x.g(x) = \sqrt{x} + 1 \quad \text{and} \quad f \circ g(x) = x + 3 - \sqrt{x}.

Then f(0)f(0) is equal to:

  • A

    55

  • B

    00

  • C

    3-3

  • D

    11

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