Question

Let \( [x] \) denote the greatest integer \( \leq x \). If \( f(x) = [x] \) and \( g(x) = |x| \), then the value of:
\[ f \left( g \left( \frac{8}{5} \right) \right) - g \left( f \left( \frac{-8}{5} \right) \right) \] is:

• A. \( 2 \)
• B. \( -2 \)
• C. \( 1 \)
• D. \( -1 \)

Hint:

The greatest integer function \( [x] \) returns the largest integer less than or equal to \( x \). The absolute function \( |x| \) removes the sign.