Answer:
Given function:
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