https://file.aiquickdraw.com/mathbot/file/1726381092723n776l6ci.jpg

The question shown in the image asks:

**Given the function** \( f(x) = 7.2x + 36 \), **find** \( f(-5) \).

### Solution:

To find \( f(-5) \), we substitute \( x = -5 \) into the function \( f(x) \):

\[
f(-5) = 7.2(-5) + 36
\]

Now calculate:

\[
7.2 \times (-5) = -36
\]
\[
f(-5) = -36 + 36 = 0
\]

### Final Answer:
\[
f(-5) = 0
\]

Let me know if you'd like further clarification or have any questions! Here are 5 related questions to explore this topic further:

1. How would you evaluate \( f(2) \) for the same function \( f(x) = 7.2x + 36 \)?
2. What is the slope of the linear function \( f(x) = 7.2x + 36 \)?
3. How would the graph of the function \( f(x) = 7.2x + 36 \) look?
4. Can you find the x-intercept and y-intercept of \( f(x) = 7.2x + 36 \)?
5. What happens to the value of \( f(x) \) as \( x \) becomes very large?

### Tip:
Always remember that substituting values into a function involves replacing the variable \( x \) with the given number and then simplifying the expression.

Learn how to evaluate the linear function f(x) = 7.2x + 36 by substituting x = -5. This problem covers key algebraic concepts of substitution and simplification in linear functions. Suitable for students in Grades 7-9.

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