shriya0119 shriya0119
  • 21-07-2022
  • Mathematics
contestada

Given f(x) =
4x + 2, find f(x + 3).

Respuesta :

tanweeleong195oxyqwp
tanweeleong195oxyqwp tanweeleong195oxyqwp
  • 21-07-2022

Answer:

f(x + 3) = 2(x + 7)

Step-by-step explanation:

Now lets find out what does f(x + 3) means.

f(x + 3) means shifting the entire function 3 units to the left. Which also means, all x values will be shifted to the left by that number of units. (Excluding the constant that is multiplied or divided by x, eg. 5x + 6 shifted by 7 units to the left is 5(x + 7) + 6 and not 5x + 7 + 6.)

From the above,

f(x + 3) = 4(x + 3) + 2 = 4x + 12 + 2 = 4x + 14 = 2(x + 7)

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