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 f(x) ?

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

let f(x) = x² + 2x $$-$$ 5

and g(x) = 5x + 30

What are the roots of the equation $$g[(f(x)] = 0$$ ?

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

let f(x) = x² + 2x $$-$$ 5

and g(x) = 5x + 30

Consider the following statements :

1. f[g(x)] is a polynomial of degree 3.

2. g[g(x)] is a polynomial of degree 2.

Which of the above statements is/are correct?

A function f defined by $$f(x) = \ln \left( {\sqrt {{x^2} + 1} - x} \right)$$ is