Composition of Functions

Multiple choice question : 

If f(x) = 2x² and g(x) = `1/(3x)`, then fog is

If f(x) = x² – 1, g(x) = x – 2 find a, if gof(a) = 1

Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)

f(x) = x², g(x) = 2x and h(x) = x + 4

If f : R → R and g : R → R are defined by f(x) = x⁵ and g(x) = x⁴ then check if f, g are one-one and fog is one-one?

If f(x) = x² – 1. Find fofof

Let A, B, C ⊆ N and a function f: A → B be defined by f(x) = 2x + 1 and g: B → C be defined by g(x) = x². Find the range of fog and gof.

Find the value of k, such that fog = gof

f(x) = 3x + 2, g(x) = 6x – k

If f(x) = x² – 1. Find fof