Question

if f(x)=x²+2xsinx+3,then prove that f(-x)=f(x).​

Answer 1

Step-by-step explanation:

given that,

f(x)=x^2+2xsinx+3

RHS=>

f(-x)=(-x)^2+2(-x)sin(-x)+3

f(-x)=x^2-2x(-sinx)+3 since, sin(-x)= -sinx

f(-x) =x^2+2xsinx+3

f(-x)=f (x)