emogirl867 emogirl867
  • 04-09-2019
  • Mathematics
contestada

If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) =

Respuesta :

carolinazimicz carolinazimicz
  • 09-09-2019

Answer:

If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h

Step-by-step explanation:

Given ƒ(x ) = 3x + 1, then to calculate  ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.

So...

f(a +h) = 3(a + h) + 1

and

f(a) = 3a + 1

Then

  ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.

So, ƒ(a + h ) - ƒ(a ) = 3h

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