Question

64. Write a function d G) that represents the sale price of a cell phone after applying only the 25% off discount where x represents the original price of the cell phone B. Write a function c(x)that represents the cost of a cell phone after applying only the $150 off coupon where x represents the original price of the cell phone. C. Write a new function f(x) = d(c(x)) and explain in words what this means in the context of the given situation. D. Write a new function g(x) c(d(x)) and explain in words what this means in the context of the given situation. E. If the cell phone cost $600, which function represents the cheapest way to purchase the cell phone? Explain.

Answer 1

6 A 0 d(x) = x - x time s25/100 [here, x is original price & we have 25% discount] x = 0.25x = 0.75x $ b) c(x) = (x - 150)$ [here, x is price of cell phone and 150 $ discount] c0 f(x) = d(c(x)) = d(x - 150) [putting value of c(x) in the function] = 0.75 (x - 150) [putting value of d(x) in the function] = 0.75 x - 0.75 times 150 on simplification = (0.75x - 112.5)$ D0 g(x) = c (d(x)) = c(0.75x) [putting value of d(x) in the function] = (0.75- 150)$ [putting value of c(x) in the function] E) if cell phone cost is $ 600 then putting value in all 4 equation d(x) = 0.75 times 600 = 450 rightarrow 1 c(x) = 600 - 150 = 450 rightarrow 2 f(x) = 0.75 tiems 600 - 112.5 = 337.5 rightarrow iii