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CUET
-- Mathematics - Section B1
Relations and Functions
Let $f(x)=\frac{4^x}{4^x+2}$ Then $f(x)+f(1-x)$ is equal to
0
1
-1
None of these
$f(x)=\frac{4^x}{4^x+2}$
$f(1-x)=\frac{4^{1-x}}{4^{1-x}+2}=\frac{4/4^x}{4/4^x+2}=\frac{4}{4+2×4^x}$
$f(1-x)=\frac{2}{2+4x}$
so $f(x)+f(1-x)=\frac{4^x+2}{4^x+2}=1$