Let the function `f: R ->R` be defined by `f(x)=tan(cot^-1 (2^x)-pi/4)` then

Let the function f:R rarr R be defined by f(x)=tan(cot^(-1)(2^(x))-(pi)/(4)) then

Let the function f : R to R be defined by f(x)= 2x + cos x , then f(x)-

Let the function f: R to R be defined by f(x) = 2x + sinx for x in R , then f is

Let the function f: R to R be defined by f(x)=x^(3)-x^(2)+(x-1) sin x and "let" g: R to R be an arbitrary function Let f g: R to R be the function defined by (fg)(x)=f(x)g(x) . Then which of the folloiwng statements is/are TRUE ?

Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=b , then f is

Let the function f ; R-{-b}->R-{1} be defined by f(x) =(x+a)/(x+b),a!=b, then

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

Let the function f:9R to 9R be defined by f(x)=2x+sin for all x in 9R . Then f(x) is

Let the function f;R-{-b}rarr R-{1} be defined by f(x)=(x+a)/(x+b),a!=b, then