Functions 04

Algebra Level 3

Determine whether the function f ( x ) = x ( a x − 1 a x + 1 ) f(x) = x \left( \dfrac{a^x-1}{a^x+1} \right) is an odd function or an even function.

Odd None of these choices Neither odd nor even Even

Raj Rajput by RAJ RAJPUT , 25, India

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1 solution

Raj Rajput
Nov 6, 2015

6 Helpful 0 Interesting 0 Brilliant 0 Confused

An even function satisfies f ( x ) = f ( − x ) f(x) = f(-x) and an odd function satisfies f ( x ) = − f ( − x ) f(x) = -f(-x) . f ( x ) = 0 f(x) = 0 is both an even and odd function.

@Zhaochen Xie I don't understand what you are trying to say in your solution, and so I have deleted it. You should review what even and odd functions are.

Calvin Lin Staff - 5 years, 7 months ago

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