You are given the function $f(x) = 7x - 5$ and asked to find $f(x+1)$.

To do this, we substitute $x + 1$ into the function:

$f(x + 1) = 7(x + 1) - 5$

Now, simplify the expression:

$f(x + 1) = 7x + 7 - 5$

$f(x + 1) = 7x + 2$

Thus, $f(x+1) = 7x + 2$.

Would you like a detailed explanation on function substitution or have any questions about this?

Here are 5 related questions to explore:

1. What is $f(x - 1)$ if $f(x) = 7x - 5$?
2. What is $f(2x)$ if $f(x) = 7x - 5$?
3. How do you find the inverse of the function $f(x) = 7x - 5$?
4. What is the slope of the function $f(x) = 7x - 5$?
5. How does shifting a function horizontally affect its graph?

Tip: When substituting into functions, carefully apply the new expression to every occurrence of the variable.