The image displays the function $f(x) = 2x - 2$, and you have requested to compute $f(a+h)$.

To calculate $f(a+h)$, substitute $a+h$ in place of $x$ in the function $f(x)$.

$f(a+h) = 2(a+h) - 2$

Now, distribute the 2:

$f(a+h) = 2a + 2h - 2$

Thus, the expression for $f(a+h)$ is:

$f(a+h) = 2a + 2h - 2$

Would you like further details or explanations?

Here are some related questions to explore:

1. What is $f(a+h) - f(a)$ for the function $f(x) = 2x - 2$?
2. How do you interpret the difference quotient $\frac{f(a+h) - f(a)}{h}$?
3. What is the derivative of $f(x) = 2x - 2$?
4. How would you graph the function $f(x) = 2x - 2$?
5. What is the slope of the function $f(x) = 2x - 2$?

Tip: The expression $f(a+h)$ is a key step in finding the derivative using the definition.