Consider the following for the next two (02) items that follow:

Let $f(x) = |x| + 1$ and $g(x) = [x] - 1$, where [.] is the greatest integer function.

Let $h(x) = \frac{f(x)}{g(x)}$.

Consider the following statements:

1. $f(x)$ is differentiable for all $x < 0$

2. $g(x)$ is continuous at $x = 0.0001$

3. The derivative of $g(x)$ at $x = 2.5$ is 1

Which of the statements given above are correct?

Consider the following for the next two (02) items that follow :

Let $3f(x) + f\left(\frac{1}{x}\right) = \frac{1}{x} + 1$

What is $f(x)$ equal to?

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.