Let `f(x)={(4x-5,xge2),(1-x,x<2):}` and `g(x)={(3x+7,xle3),(7,x>3):}` be two functions from R to R. Find `(fog)(3)`

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (fog)(7)

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (gof)(1)

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (gof)(10)

Let f{(x,(x^2)/(1+x^2):x in R} be a function from R into R.Determine the range of f.

Let f:R toR and g:R to R be two functions given by f(x)=cosx and g(x)=3x^(2) . Show that gof!=fog .

Let f : R rarr R, f(x)=x^2 and g : R rarr R,g(x)=sinx be two given functions. Is gof=fog ?

Let f:R to R and g: R to R be two functions defined by f(x)=|x|" and "g(x)=[x] , where [x] denotes the greatest integer less than or equal to x. Find (fog) (5.75) and (gof)(-sqrt(5)) .

If f(x)=[x], where [x] is the greatest integer function then find f(√2) ,f(3),f(-1.3),f(0),f(-1).

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)