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

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

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

Let f(x) and g(x) be two continuous functions defined from R rarr R, such that f(x_(1))>f(x_(2)) and g(x_(1)) f(g(3 alpha-4))

Let f and g be differentiable function of R such that g(x)<=0,AA x in R and consider h(x)={f(x)f or |f(x)|<=g(x) and g(x)f or f(x)

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

Consider f g and h are real-valued functions defined on R. Let f(x)-f(-x)=0 for all x in R, g(x) + g(-x)=0 for all x in R and h (x) + h(-x)=0 for all x in R. Also, f(1) = 0,f(4) = 2, f(3) = 6, g(1)=1, g(2)=4, g(3)=5, and h(1)=2, h(3)=5, h(6) = 3 The value of f(g(h(1)))+g(h(f(-3)))+h(f(g(-1))) is equal to