If f : R $$\to$$ S defined by f(x) = 4 sin x $$-$$ 3 cos x + 1 is onto, then what is S equal to ?

Read the following information and answer the two items that follow.

Let f(x) = x², g(x) = tan x and h(x) = log x.

For $$x = {{\sqrt \pi } \over 2}$$, what is the value of $$[ho(gof)](x)$$ ?

Read the following information and answer the two items that follow.

Let f(x) = x², g(x) = tan x and h(x) = log x.

What is $$[fo(fof)](2)$$ equal to ?

Read the following information and answer the three items that follow.

Consider the function

f(x) = g(x) + h(x)

where, g(x) = sin$$\left( {{x \over 4}} \right)$$

and h(x) = cos$$\left( {{{4x} \over 5}} \right)$$

What is the period of the function g(x)?