What is (1−x)f(\sqrt{x}) + xf(\sqrt{x} + 1) equal to?

UPSC NDA II 2025 Mathematics Paper

Question Numbers: 76-77
For the following two (02) items:
Consider the function
f(x)=‌

1−x

(x>0,x≠1)

Question : 77 of 120

Marks: +1, -0

What is (1−x)f(√x)+xf(√x+1) equal to?

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