  GRAPHS AND FUNCTIONSFinding, evaluating, and interpreting an inverse function for a giv...P(n), given below, is the price P in dollars for n grams of vitamins.P (n) 0.25n 5.2Complete the following statements.1be the inverse function of P.Let PTake x to be an output of the function P1(x)?(a) Which statement best describes P?The price (in dollars) for x grams of vitamins.The ratio of the price (in dollars) to the number of grams, xThe reciprocal of the price (in dollars) for x grams of vitamins.The amount of vitamins (in grams) for a price of x dollars.- 1(x) =(b) Р-1P(8.5)(c)X

Question

see attachment help_outlineImage TranscriptioncloseGRAPHS AND FUNCTIONS Finding, evaluating, and interpreting an inverse function for a giv... P(n), given below, is the price P in dollars for n grams of vitamins. P (n) 0.25n 5.2 Complete the following statements. 1 be the inverse function of P. Let P Take x to be an output of the function P 1 (x)? (a) Which statement best describes P ? The price (in dollars) for x grams of vitamins. The ratio of the price (in dollars) to the number of grams, x The reciprocal of the price (in dollars) for x grams of vitamins. The amount of vitamins (in grams) for a price of x dollars. - 1 (x) = (b) Р -1 P (8.5) (c) X fullscreen
Step 1

Given: help_outlineImage TranscriptioncloseThe price function P(n) is defined as P(n) =0.25n+5.2,where n is the number of grams of vitamins Consider P to be the inverse function ofP and take x to be an output ofP. fullscreen
Step 2

a] help_outlineImage TranscriptioncloseThe inverse function P1 (x) describes the number of grams of vitamins bought for x dollars Hence, the fourth statement "The amount of vitamins for a piece ofx dollars" is correct fullscreen
Step 3

b]

... help_outlineImage TranscriptioncloseObtain the value of P(x)as follows. P(n) 0.25n5.2 0.25n P-5.2 0.25n Р-5.2 0.25 0.25 п34(Р-5.2) That is, n 4P -20.8 = As the price is x dollars and P1 (x) is the amount of vitamins, the obtained equation becomes P(x)= 4x - 20.8 Therefore, P x)=4x-20.8 fullscreen

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