Let f, g and h be functions from R to R. Show that `(f+g)oh=foh+goh(fdotg)oh= (foh)dot(goh)`

Let f,\ g and h be functions from R to R . Show that (fg)oh=(foh)(goh)

Let f : R to R : f (x) =10x +7. Find the function g : R to R : g o f = f o g =I_(g)

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

Let f and g be two functions from R into R defined by f(x) =|x|+x and g(x) = x " for all " x in R . Find f o g and g o f

If f,g,\ h are three functions defined from R\ to\ R as follows: the range of h(x)=x^2+1

If f,g,\ h are three functions defined from R\ to\ R as follows: Find the range of f(x)=x^2

If g (y) is inverse of function f :R to R given by f (x)=x+3, then g (y)=

Let f:R rarr R and g:R rarr R be two functions such that fog(x)=sin x^(2) andgo f(x)=sin^(2)x Then,find f(x) and g(x)

Let f:R rarr R and g:R rarr R be two functions such that (gof)(x)=sin^(2)x and (fog)(x)=sin(x^(2)) Find f(x) and g(x)