Let `f:R to R` be any function. Defining `g: R to R` by `g(x)=|f(x)|" for "x to R`. Then g, is

Let f: R to R be any function. Define g : R to R by g(x) = | f(x), AA x . Then, g is

Let f : R rarr R be any function. Define g : R rarr R by g(x)=|f(x)| for all x. Then g is:

The f: R rarr R be any function. Define g: R rarr R by g(x)=|f(x)| for all x then g is

Let f:R rarr R be a function.Define g:R rarr R by g(x)=|f(x)| for all x .Then which of the following is/are not always true-

If f:R to R be defined by f(x)=3x^(2)-5 and g: R to R by g(x)= (x)/(x^(2)+1). Then, gof is

If f:R to R be defined by f(x)=3x^(2)-5 and g: R to R by g(x)= (x)/(x^(2)+1). Then, gof 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 f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(x)=x+5 . Then , (gof)(x) is equal to -