santamartinez12 santamartinez12
  • 14-10-2019
  • Mathematics
contestada

If f(x) = 2x – 4,find f-1(x)
Answer

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 14-10-2019

Answer:

f-1(x) = (x+4) / 2

Step-by-step explanation:

given f(x) = 2x – 4

let y = f(x) and rearrange to express x in terms of y

y = 2x – 4  (add 4 to each side)

y + 4 = 2x (divide both sides by 2)

(y+4) / 2 = x (rearrange)

x = (y+4) / 2

f-1(y) = (y+4) / 2

hence

f-1(x) = (x+4) / 2

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