Use the following function rule to find f(c–8). Simplify your answer.
f(b)=b–6
f(c–8)=


We are given the function \( f(b) = b - 6 \), and we need to find \( f(c-8) \).

### Steps:
1. The function definition tells us that \( f(b) = b - 6 \), meaning for any input \( b \), the function outputs \( b - 6 \).
2. Now, we substitute \( c-8 \) in place of \( b \) in the function.

Thus:
\[
f(c - 8) = (c - 8) - 6
\]

3. Simplify the expression:
\[
f(c - 8) = c - 8 - 6 = c - 14
\]

So, \( f(c - 8) = c - 14 \).

Would you like further details or have any questions about this solution?

### Related Questions:
1. What is \( f(2) \) if \( f(b) = b - 6 \)?
2. If \( f(x) = x - 6 \), how would you solve for \( f(x + 5) \)?
3. How would the rule change if the function was \( f(b) = 2b - 6 \)?
4. Can you find \( f(a + b) \) for the function \( f(b) = b - 6 \)?
5. What happens if the function is instead \( f(b) = b + 6 \)? How does that affect \( f(c - 8) \)?

### Tip:
Always remember to substitute variables carefully and simplify step by step for clarity in function evaluation.

Use the following function rule to find f(c–8). Simplify your answer. f(b)=b–6 f(c–8)=

Learn how to find f(c-8) using the function rule f(b) = b - 6. This step-by-step solution simplifies the expression by substituting the value of c - 8 into the function, covering key algebraic concepts. Ideal for students in Grades 6-8.

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