Respuesta :

mhanifa

Answer:

  • h² + h + 2
  • h + 1

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Given

  • Function f(x) = x² - 3x + 4

To find

  • f(2 + h),
  • [f(2 + h) - f(2)]/h.

Solution

Solve by substitution

Find f(2 + h)

  • f(x) = x² - 3x + 4
  • f(2 + h) =  (2 + h)² - 3(2 + h) = 4 = h² + 4h + 4 - 6 - 3h + 4 = h² + h + 2

Find f(2)

  • f(2) = 2² - 2*3  + 4 = 4 - 6 + 4 = 2

Find [f(2 + h) - f(2)]/h

  • (h² + h + 2 - 2)/h =
  • (h² + h)/h =
  • h + 1