Answer
$\frac{f(a+h) - f(a)}{h} = 3$
Work Step by Step
$$f(x) = 3x + 7$$ $f(a) = 3a + 7$
$f(a + h) = 3(a + h) + 7$
$f(a + h) = 3a + 3h + 7$
Therefore, to find $\frac{f(a+h) - f(a)}{h}$, we simply substitute appropriately and simplify: $$\frac{f(a+h) - f(a)}{h}$$ $$\frac{(3a + 3h + 7) -(3a + 7)}{h}$$ $$\frac{3a + 3h + 7 - 3a - 7}{h}$$ $$\frac{3h}{h}$$ $$3$$
