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A function whose graph is symmetrical ab...

A function whose graph is symmetrical about y-axis is

A

`f(x)=x((3^(x)-1)/(3^(x)-1))`

B

`f(x)=log_(2)(x+sqrt(x^(2)+1))`

C

`f(x+y)=f(x)+f(y)`

D

`f(x)=sinx+cosx`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that the graph of an even function is symmetrical about y-axis .
Clearly , `f(x)=x((3^(x)-1)/(3^(x)+1))` is an even function.
So, option (a) is correct.
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