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

(a) Let f,g : R to R be defined as f(x) =2x -|x| and g(x) =2x + |x| . Find fog. (b) Prove that lim_(theta to 0) (sin theta)/theta =1

Letf, g: RtoR be defined as f(x) = 3x - |x| and g(x) = 3x + | x |, find fcircg .

If f, g : RR to RR are defined by f(x) = |x| - x , and g(x) = |x| - x , find g^(@) f and 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 f, g : R to R be defined, respectively byt f(x)=x+1, g(x)=2x-3. Find f+g, f-g and f/g .

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

Let f and g be two functions from R to R defined by f (x) = 2x + 3 and g(x) = x^(2) . Find fcircg and gcircf .

Let f,g : R to R defined , respectively by f(x) = x+1 , g(x) = 2x -3 , find f+ g,f-g and (f)/( g)