If `f(x)=x^(3)+(1)/(x^(3)),` then `f(x)+f((1)/(x))` is equal to

If f(x)=x^(3)-(1)/(x^(3)), show that f(x)+f((1)/(x))=0

If f(x)=x^(3)-(1)/(x^(3)) show that f(x)+f((1)/(x))=0

(2) If f(x)=x+(1)/(x) , then [f(x)]^(3)-f(x^(3)) is equal to

If f(x)=(1)/(1-x), then f(f(f(x))) is equal to

If f(x)=x+3, then f(x)+f(-x) is equal to

If f(x)=(x-1)/(x+1), then f(f(ax)) in terms of f(x) is equal to (a) (f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1))(c)(f(x)-1)/(a(f(x)+1))(d)(f(x)+1)/(a(f(x)+1))

If f(x)=3^(1+x)," then "f(x)f(y)f(z) is equal to

If f(x)=log((1+x)/(1-x)) and g(x)=((3x+x^(3))/(1+3x^(2))) then f(g(x)) is equal to f(3x)(b)quad {f(x)}^(3) (c) 3f(x)(d)-f(x)

If f(x)=x^(3)+3x^(2)+3x , then f(x+1) is equal to

If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) then (d)/(dx)(f(x)) is equal to