If $f(x)=\frac{4^{x}}{4^{x}+2}$ then \

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $f(x)=\frac{4^{x}}{4^{x}+2}$ then $f(x)+f(1-x)$ is equal to

Options:

$0$

$-1$

$1$

$4$

Correct Answer:

$1$

Explanation:

$f(x)=\frac{4^{x}}{4^{x}+2}⇒f(1-x)=\frac{4^{1-x}}{4^{1-x}+2}⇒\frac{4}{4+2×4x}=\frac{2}{2+4x}$

so $f(x)+f(1-x)=\frac{4^{x}+2}{4^{x}+2}=1$