Question

f(x) = |2x - 4|, find f(x) = -16

Explanation:

Step1: Recall absolute value property

The absolute value of any real number, denoted as $|A|$, is always non-negative, meaning $|A| \geq 0$ for all real $A$.

Step2: Analyze the given equation

We are asked to solve $|2x - 4| = -16$. Since the left-hand side is an absolute value, it cannot be negative, but the right-hand side is $-16$, a negative number.

Answer:

There is no real solution for $x$ because the absolute value of an expression cannot be negative.