Given f, of, x, equals, 4, x, squared, minus, 8, x, minus, 5f(x)=4x 
2
 −8x−5, find f, of, minus, 7f(−7)

To find \( f(-7) \) for the function \( f(x) = 4x^2 - 8x - 5 \), we'll substitute \( x = -7 \) into the function and compute the result.

### Step-by-Step Solution:

1. **Substitute \( x = -7 \) into \( f(x) \):**
   \[
   f(-7) = 4(-7)^2 - 8(-7) - 5
   \]

2. **Calculate each term:**

   - \( (-7)^2 = 49 \)
   - \( 4 \times 49 = 196 \)
   - \( -8 \times (-7) = 56 \)

   So, the expression becomes:
   \[
   f(-7) = 196 + 56 - 5
   \]

3. **Combine the terms:**
   \[
   f(-7) = 252 - 5 = 247
   \]

### Final Answer:
\[
f(-7) = 247
\]

Would you like further details, or do you have any other questions?

### Related Questions:

1. How would you find \( f(0) \) for the function \( f(x) = 4x^2 - 8x - 5 \)?
2. What is the vertex form of the quadratic function \( f(x) = 4x^2 - 8x - 5 \)?
3. How do you find the roots of the function \( f(x) = 4x^2 - 8x - 5 \)?
4. What is the axis of symmetry for the function \( f(x) = 4x^2 - 8x - 5 \)?
5. How would you determine the maximum or minimum value of \( f(x) = 4x^2 - 8x - 5 \)?

**Tip:** When working with quadratic functions, substituting values directly is a quick way to evaluate the function at specific points.

Learn how to evaluate f(-7) for the quadratic function f(x) = 4x^2 - 8x - 5. Step-by-step solution provided with calculations of each term, including substituting x = -7, calculating squared terms, and combining results. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation