Given the function $f(x) = 7x - 5$, we want to find $f(x+1)$.

To do this, substitute $x+1$ into the function in place of $x$:

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

Now simplify:

$f(x+1) = 7x + 7 - 5$ $f(x+1) = 7x + 2$

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

Would you like a more detailed explanation, or do you have any other questions?

Here are 5 related questions for further exploration:

1. What is the value of $f(2)$ for the given function?
2. How does $f(x+2)$ compare to $f(x)$?
3. Can you find the inverse of $f(x) = 7x - 5$?
4. What is the derivative of $f(x) = 7x - 5$?
5. If $g(x) = x^2$, what is $(f \circ g)(x)$?

Tip: When substituting a variable into a function, be sure to replace all instances of the original variable with the new expression.