Reference no: EM131137423

1) The regular price of a pair of jeans is x dollars. Let f (x) = x - 5; g (x) = 0.6x

a. Describe what functions f and g model in terms of the price of the jeans.

b. Find (f with g) (x) and describe what this models in terms of the price of the jeans.

(fog)(x) = f(0.6x) = 0.6x - 5

c. Repeat part (b) for ( G with f) (x)

(gof)(x) = g(x-5) = 0.6(x-5) = 0.6x - 3

d. Which composite function models the greater discount on the jeans, f wit g or g with f? Explain.

e. Find f to the "-1" power and describe what this models in terms of the price of the jeans.

f¯¹(x) = x + 5

2) The half-life of the radioactive element krypton-91 is10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds? All the work has to be shown