**Problem Statement:** Find the horizontal intercept of \( f(x) = \frac{1}{3}x + 12 \). Write your answer as an exact value. Do not round. **Solution Explanation:** To find the horizontal intercept, also known as the x-intercept, set the function \( f(x) \) equal to zero and solve for \( x \). \[ 0 = \frac{1}{3}x + 12 \] Subtract 12 from both sides: \[ -12 = \frac{1}{3}x \] Multiply both sides by 3 to solve for \( x \): \[ x = -36 \] Therefore, the horizontal intercept is \( x = -36 \).

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