Answer
7
Work Step by Step
$f'(x)=\lim\limits_{h \to 0}\frac{f(x+h)-f(x)}{h}=\lim\limits_{h \to 0}\frac{[7(x+h)-9]-(7x-9)}{h}$
$=\lim\limits_{h \to 0}\frac{7x+7h-9-7x+9}{h}=\lim\limits_{h \to 0}(7)=7$
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