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meaghan223 meaghan223
  • 12-02-2017
  • Mathematics
Answered

Find the difference quotient of f(x)=x^2-3; that is, find [f(x+h)-f(x)]/h, h =/= 0

Verified Answer :

LammettHash
LammettHash LammettHash
  • 13-02-2017

\(\dfrac{f(x+h)-f(x)}h=\dfrac{((x+h)^2-3)-(x^2-3)}h=\dfrac{x^2+2xh+h^2-3-x^2+3}h=\dfrac{2xh+h^2}h=2x+h\)

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