lisabella50 lisabella50

08-11-2018
Mathematics

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Find and simplify the different quotient f(x+h)-f(h) /h for the given function f(x)=9x+1

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11-11-2018

[tex]f(x)=9x+1\\\\\dfrac{f(x+h)-f(h)}{h}\\\\f(x+h)=9(x+h)+1=9x+9h+1\\f(h)=9h+1\\\\\dfrac{f(x+h)-f(h)}{h}=\dfrac{9x+9h+1-(9h+1)}{h}=\dfrac{9x+9h+1-9h-1}{h}=\dfrac{9x}{h}\\\\Answer:\ \boxed{\dfrac{f(x+h)-f(h)}{h}=\dfrac{9x}{h}}[/tex]

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