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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
For x∈Rx \in \mathbb{R}, two real valued functions f(x)f(x) and g(x)g(x) are such that, g(x)=x+1g(x)=\sqrt{x}+1 and fog(x)=x+3βˆ’xfog(x)=x+3-\sqrt{x}. Then f(0)f(0) is equal to
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Correct option: B
5
Option B (5) is correct because by substituting t=x+1t = \sqrt{x} + 1 into the given functional equation, we can find f(t)f(t) and then evaluate f(0)f(0).

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