Let `a, b in RR` and `f : RR rarr RR` be defined by `f(x) = a cos(|x^3-x|) + b|x| sin(|x^3+x|).` Then `f` is

The function f : RR to RR is defined by f(x) = sin x + cos x is

Let, a in RR and let f:RR to RR be given by f(x)=x^(5)-5x-a . Then

Let f : RR to RR be given by f(x) = x+ sqrt(x^(2)) is

Let RR be the set of real numbers and f: RR rarr RR be defined by , f(x) =x^(3) +1 , find f^(-1)(x)

Let f: RR to RR be defined by f(x)=1 -|x|. Then the range of f is

Prove that, the function f: RR rarr RR defined by f(x)=x^(3)+3x is bijective .

Let f , g : RR to RR be defined as f( x) = 2x -|x| and g(x) = 2x+|x|. Find f(g).

If f,g : RR to RR are defined by f(x) = |x| +x and g(x) = |x|-x, find g o f and f o g.

let the functions f: RR rarr RR and g: RR rarr RR be defined by f(x)=3x+5 and g(x)=x^(2)-3x+2 . Find (i)(g o f) (x^(2)-1), (ii) (f o g )(x+2)