If `f:Rrrarr RR and g: RR rarr RR` are defined by `f(x)=|x| and g(x)=[x-3]" for "x in RR,` then `{g(f(x)):-8//5 lt x lt 8//5}=`

If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

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) .

Let f:RR rarr RR and g: RR rarr RR be two mapping defined by f(x)=2x+1 and g(x)=x^(2)-2 , 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)

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

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) ?

If the function f:RR rarr RR and g: RR rarr RR are given by f(x)=3x+2 and g(x)=2x-3 (RR being the set of real numbers), state which of the following is the value of (g o f) (x) ?

Let the functions f: RR rarr RR and g: RR rarr RR be defined by f(x)=x+1 and g(x)=x-1 Prove that , (g o f)=(f o g)=I_(RR)