Given f, of, x, equals, minus, 5, x, plus, 2f(x)=−5x+2, find f, of, minus, 4f(−4).

To find \( f(-4) \) given the function \( f(x) = -5x + 2 \), follow these steps:

1. **Substitute** \( x = -4 \) into the function \( f(x) \):
   \[
   f(-4) = -5(-4) + 2
   \]

2. **Simplify** the expression:
   \[
   f(-4) = 20 + 2 = 22
   \]

Thus, \( f(-4) = 22 \).

Would you like more details or have any other questions?

Here are 5 related questions to explore:
1. What is the value of \( f(0) \) for the given function?
2. How do you find the x-intercept of the function \( f(x) = -5x + 2 \)?
3. What is the y-intercept of the function \( f(x) = -5x + 2 \)?
4. How do you determine the slope of the function \( f(x) = -5x + 2 \)?
5. What would be the value of \( f(x) \) if \( x = 1 \)?

**Tip:** Remember that the slope of a linear function indicates how much the function value changes with each unit increase in \( x \).

Learn how to find f(-4) for the function f(x) = -5x + 2 step-by-step. This problem involves substituting x = -4 into the linear function and simplifying the expression. Suitable for high school students.

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