If `f : RR rarr RR` be defined as `f(x) = sin (|x|),` then which one of the following is correct?

Let RR be the set of real numbers and the mapping f: RR rarr RR and g: RR rarr RR be defined by f(x)=5-x^(2) and g(x) =3x -4 , state which of the following is the value of (f o g) (-1) ?

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

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

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

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

Let RR be the set of real numbers and f: RR rarr RR, g: RR rarr RR, h: RR rarr RR be defined by , f(x) =sin x, g(x)=3x -1, h(x)=x^(2)-4 .Find the formula which defines the product function h o (g o f) and hence compute [h o( g o f)] ((pi)/(2))

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 RR be the set of real numbers . If the functions f:RR rarr RR and g: RR rarr RR be defined by , f(x)=3x+2 and g(x) =x^(2)+1 , then find ( g o f) and (f o g) .