Find the inverse function. f (x) = x + 8

y = - x - 8
y = x + 8
y = x - 8

To find the inverse function of \( f(x) = x + 8 \), follow these steps:

1. **Start with the function:**
   \[
   y = f(x) = x + 8
   \]
   
2. **Swap \( x \) and \( y \):**
   \[
   x = y + 8
   \]

3. **Solve for \( y \):**
   Subtract 8 from both sides:
   \[
   y = x - 8
   \]

Thus, the inverse function is:
\[
f^{-1}(x) = x - 8
\]

From the given options, the correct answer is:

- **\( y = x - 8 \)**

Would you like more details, or do you have any questions?

Here are five related questions to expand your understanding:
1. What is the inverse function of \( f(x) = x - 8 \)?
2. How do you find the inverse of a quadratic function?
3. What is the domain of the inverse function \( f^{-1}(x) = x - 8 \)?
4. How do you verify that two functions are inverses of each other?
5. What are the properties of inverse functions?

**Tip:** Remember, the graph of a function and its inverse are reflections of each other across the line \( y = x \).

Discover how to find the inverse function of f(x) = x + 8 step-by-step with clear explanations. Understand the concept of inverse functions in algebra. Suitable for high school students and anyone learning about functions and their inverses.

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