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.