Please solve the given problem
2 answers:
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(a)
In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.
The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,
The amount of vitamins (in grams) for a price of x dollars.
(b)
Let P(n) = x, So
Replace n by x and x by n in the given equation.
Simplify the equation for x.
So inverse of function is after interchange of variables,
(c)
Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).
So answer is 6.5.
Every point on the original graph will move up 4 units. See the enclosed graph
Legend
Red: y = x^3
Blue: y = x^3 + 4
Green: A vertical line that shows that when x = 1 on the original red graph, x = 5 on the blue.
