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Find \( f(-16) \) \( f(x)=-5 x+29 \)

Ask by Kirk Potter. in the United States
Jan 21,2025

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Answer

\( f(-16) = 109 \)

Solution

To find \( f(-16) \) for the function \( f(x) = -5x + 29 \), follow these steps: 1. **Substitute \( x \) with \(-16\):** \[ f(-16) = -5(-16) + 29 \] 2. **Calculate the multiplication:** \[ -5 \times (-16) = 80 \] So, \[ f(-16) = 80 + 29 \] 3. **Add the numbers together:** \[ 80 + 29 = 109 \] **Therefore, \( f(-16) = 109 \).**

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The Deep Dive

To find \( f(-16) \), we need to substitute \(-16\) into the function \( f(x) = -5x + 29 \). So, we calculate: \[ f(-16) = -5(-16) + 29 \] \[ = 80 + 29 \] \[ = 109 \] Thus, \( f(-16) = 109 \). Isn’t it fascinating how a simple linear equation can quickly transform an input into a completely different value? Functions like this not only show relationships between numbers but also help us understand trends and patterns in everything from economics to physics!

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