Respuesta :

mhanifa

Answer:

Given function:

  • P(n) = 0.4n + 5.7

Find its inverse:

  • x = 0.4[tex]P^{-1}[/tex](x) + 5.7
  • 0.4[tex]P^{-1}[/tex](x) = x - 5.7
  • [tex]P^{-1}[/tex](x) = (x - 5.7)/0.4
  • [tex]P^{-1}[/tex](x) = x/0.4 - 5.7/0.4
  • [tex]P^{-1}[/tex](x) = 2.5x - 14.25

a) Correct choice is B

  • [tex]P^{-1}[/tex](x) is the amount of vitamins n for a price of x dollars.

b) See above the equation of inverse function.

c) Find the value of inverse function when x = 8.3

  • [tex]P^{-1}[/tex](8.3) = 2.5*8.3 - 14.25 = 6.5 grams

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