Given the function $$ f(x)=3 x-3 $$, evaluate and simplify the expressions below. See special instructions on how to enter your answers. $$ f(a)= $$ $$ f(a+h)= $$ $$ \frac{f(a+h)-f(a)}{h}= $$ Instructions: Simplify answers as much as possible. Expressions such as $$ 4(x+2) $$ and $$ (x+5)^{2} $$ should be expanded. Also collect like terms, so $$ 3 x+x $$ should be written as $$ 4 x $$.

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$$ f(a) = 3a - 3 $$

$$ f(a+h) = 3(a+h) - 3 = 3a + 3h - 3 $$

$$ \frac{f(a+h) - f(a)}{h} = \frac{(3a + 3h - 3) - (3a - 3)}{h} = \frac{3h}{h} = 3 $$
$$ f(a) = 3a - 3 $$ $$ f(a+h) = 3a + 3h - 3 $$ $$ \frac{f(a+h) - f(a)}{h} = 3 $$

Given the function , evaluate and simplify the expressions below. See special instructions
on how to enter your answers.

Instructions: Simplify answers as much as possible. Expressions such as and should be
expanded. Also collect like terms, so should be written as .

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Given the function , evaluate and simplify the expressions below. See special instructions on how to enter your answers. Instructions: Simplify answers as much as possible. Expressions such as and should be expanded. Also collect like terms, so should be written as .