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1 Let f(x) Expand and simplify: 2x - 9 f(x + h) - f(x) h - (Enter your answer in reduced form)

User Vipin Sahu
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1 Answer

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Solution

We have the following function given:


f(x)=(1)/(2x-9)

and we want to find:


(f(x+h)-f(x))/(h)

Replacing we have:


((1)/(2(x+h)-9)-(1)/(2x-9))/(h)=((2x-9-2x-2h+9)/((2(x+h)-9)(2x-9)))/(h)

And if we simplify we got:


(-2h)/(h\lbrack(2x+2h-9)(2x-9)\rbrack)=(-2)/((2(x+h)-9)(2x-9))

User Georgi Boyadzhiev
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