Consider f(x)=x7+x2 sin x+x4(ex-e-x)+x2+1, if f(2)=α, then f(-2) equals

Question

Consider f(x)=x7+x2 sin x+x4(ex-e-x)+x2+1, if f(2)=α, then f(-2) equals (A) 5-α (B) -α (C) α (D) 10-α

Tardigrade Admin · Accepted Answer

f(x)+f(-x)=2 x2+2 f (2)+ f (-2)=10 f (-2)=10-α

Q. Consider $f (x) = x^{7} + x^{2} sin x + x^{4} (e^{x} - e^{- x}) + x^{2} + 1$ , if $f (2) = α$ , then $f (- 2)$ equals