given the function f(x) = 3x-7, find; f(x+1)

To find \( f(x+1) \) for the function \( f(x) = 3x - 7 \), we need to substitute \( x+1 \) into the function in place of \( x \).

### Step-by-step Solution:

1. **Substitute \( x+1 \) into the function**:
   \[
   f(x+1) = 3(x+1) - 7
   \]

2. **Expand the expression**:
   \[
   f(x+1) = 3x + 3 - 7
   \]

3. **Combine like terms**:
   \[
   f(x+1) = 3x - 4
   \]

### Conclusion:
\[
f(x+1) = 3x - 4
\]

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

1. What is the value of \( f(x+2) \) for the same function?
2. How do you find the inverse of the function \( f(x) = 3x - 7 \)?
3. What is the value of \( f(0) \) for the function \( f(x) = 3x - 7 \)?
4. How does the slope of the function \( f(x) = 3x - 7 \) affect its graph?
5. What is the y-intercept of the function \( f(x) = 3x - 7 \)?

**Tip**: When finding \( f(a) \) for any given function \( f(x) \), always substitute \( a \) in place of \( x \) and simplify.

Discover how to find f(x+1) for the function f(x) = 3x - 7 with a step-by-step solution. Learn about functions, linear equations, and substitution methods. Suitable for Grades 7-9.

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