`f(x) =xe^(x(1-x)), then f(x) is `

If f(x)=x.e^(x(1-x)) , then f(x) is

If f(x)=x.e^(x(1-x), then f(x) is

If f(x)=x.e^(x(1-x), then f(x) is

If f(x)=x.e^(x(1-x), then f(x) is

If f(x)=xe^(x(x-1)), then f(x) is (a) increasing on [-(1)/(2),1] (b) decreasing on R (c) increasing on R(d) decreasing on [-(1)/(2),1]

If f(x)=xe^(x(x−1)) , then f(x) is (a) increasing on [−1/2,1] (b) decreasing on R (c) increasing on R (d) decreasing on [−1/2,1]

If f(x)=xe^(x(x−1)) , then f(x) is (a) increasing on [−1/2,1] (b) decreasing on R (c) increasing on R (d) decreasing on [−1/2,1]

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)=log((1+x)/(1-x)), then (a) f(x_(1))f(x)=f(x_(1)+x_(2))(b)f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^(2)+x)(d)f(x_(1))+f(x_(2))=f((x_(1)+x_(2))/(1+x_(1)x_(2)))