Given f, of, x, equals, 4, x, plus, 1f(x)=4x+1, find f, of, minus, 4f(−4).

To find \( f(-4) \) given the function \( f(x) = 4x + 1 \), follow these steps:

1. **Substitute** \( x = -4 \) into the function \( f(x) \).
   \[
   f(-4) = 4(-4) + 1
   \]
   
2. **Multiply**:
   \[
   f(-4) = -16 + 1
   \]

3. **Add** the numbers:
   \[
   f(-4) = -15
   \]

So, \( f(-4) = -15 \).

Would you like more details or have any questions? Here are some related questions:

1. How do you find \( f(0) \) for the same function \( f(x) = 4x + 1 \)?
2. What is the graph of the function \( f(x) = 4x + 1 \)?
3. How would you solve \( f(x) = 0 \) for the given function?
4. What is the slope and y-intercept of the function \( f(x) = 4x + 1 \)?
5. How do you find the inverse of the function \( f(x) = 4x + 1 \)?

**Tip:** When substituting values into a function, ensure you substitute correctly and follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Learn how to evaluate the linear function f(x) = 4x + 1 by finding the value of f(-4). This problem involves key algebraic concepts such as substitution and basic arithmetic, making it suitable for students in Grades 7-9.

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