Question:
If f(x) = |x - 2| - |x + 1| - x, then f(-12) = ?
Answer:
The modulus function is defined as
f(x) = |x| = x, when x ≥ 0
= -x, when x < 0
Given, f(x) = |x - 2| - |x + 1| - x
f(-12) = |-12 - 2| - |-12 + 1| - (-12)
=> f(-12) = |-14| - |-11| + 12
=> f(-12) = 14 + 11 + 12
=> f(-12) = 37
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