The function `f(x)=2log(x-2)-x^2+4x+1` increases in the interval

The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,\ 2) (b) (2,\ 3) (c) (1,\ 3) (d) (2,\ 4)

The function f(x)=2log(x-2)-x^(2)+4x+1 increases on the interval (a) (1,2)(b)(2,3)(c)(1,3) (d) (2,4)

The function f(x) = (x (x - 2))^(2) is increasing in the interval

The function f(x)=log (1+x)-(2+x) is increasing in

The function f(x)=log (1+x)-(2+x) is increasing in

the function f(x)=(log x)/(x) is increasing in the interval