f( x )={ x+1,x<0 x^2,x>0 and g(x)={ x 3 x<1 2x-1,x>1 find f(g(x)) and its domain and range

Draw the graph of the function f :R to R defined by f(x) =x^3 , x in R find its domain and range

Let f(x)={x+1,x >0 2-x ,xlt=0 and g(x)={x+3,x 0)g(f(x)).

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(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain .

If f(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain .

A function f has domain [-1,2] and range [0,1] . Find the domain and range of the function g defined by g(x)=1-f(x+1)dot

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0

If f(x) =x^(2) -2,g (x) =2x+ 1 then f^(@) g (x)