(a) If `f(x)=x+2`and `g(x+1)=x+1` then find `g@f(4)`

If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

f(x)={x+1,x =0 and g(x)={x^(3),x =1 Then find f(g(x)) and find its domain and range.

If f(x) = 3x + 1 and g(x) = x^(2) - 1 , then (f + g) (x) is equal to

If f (x) = 3x -1, g (x) =x ^(2) + 1 then f [g (x)]=

If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f-g)(2) (iii) (f*g)(1)" "(iv) ((f)/(g))(5)

If f(x)=|x-1| and g(x)=f(f(f(x))) then for x>2,g'(x)=

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f+g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f-g