If f−1(−7)=−8, find f(−8).
Your answer is

If \( f^{-1}(-7) = -8 \), it means that \( f(-8) = -7 \). This is because the inverse function, \( f^{-1}(x) \), undoes the action of the original function \( f(x) \). So:

\[
f^{-1}(-7) = -8 \implies f(-8) = -7
\]

Thus, \( f(-8) = -7 \).

Would you like further details on inverse functions or have any questions?

Here are 5 related questions:
1. What is the general process of finding an inverse function?
2. How do you verify that two functions are inverses of each other?
3. How do you solve for \( f(x) \) when given a point on the graph of \( f^{-1}(x) \)?
4. What are the properties of inverse functions?
5. Can a function have more than one inverse?

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

Learn how to find f(−8) given that f−1(−7)=−8. This step-by-step guide covers key concepts of inverse functions, including the relationship between a function and its inverse. Suitable for high school students, Grades 9-12.

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