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A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers a $1750 rebate on the purchase of a new car. Suppose x is the sticker price of a car. If only the 10% discount applies, then f(x)= 0.9x represents the purchase price. If only the 10% rebate applies, then g(x)=x-1750 represents the purchase price. (a) Find a formula for H(x) = f(g(x)) = (b) Find H-¹(13,000). (Round your answer to the nearest whole number.) H-¹(13,000) (c) What does your answer in part (b) represent? O The total value discounted from the original price of the car when the rebate is $13,000. O The new price of the car when the discount is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10% ) is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10%) is $3194. O The new price of the car when the rebate is $13,000.

A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers a $1750 rebate on the purchase of a new car. Suppose x is the sticker price of a car. If only the 10% discount applies, then f(x)= 0.9x represents the purchase price. If only the 10% rebate applies, then g(x)=x-1750 represents the purchase price. (a) Find a formula for H(x) = f(g(x)) = (b) Find H-¹(13,000). (Round your answer to the nearest whole number.) H-¹(13,000) (c) What does your answer in part (b) represent? O The total value discounted from the original price of the car when the rebate is $13,000. O The new price of the car when the discount is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10% ) is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10%) is $3194. O The new price of the car when the rebate is $13,000.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers a $1750 rebate on the purchase of a new car. Suppose x is the sticker price of a car If only the 10% discount applies, then f(x) = 0.9x represents the purchase price. If only the 10% rebate applies, then g(x) = x - 1750 represents the purchase price. (a) Find a formula for H(x) = f(g(x)) = (b) Find H-¹(13,000). (Round your answer to the nearest whole number.) H-¹(13,000) (c) What does your answer in part (b) represent? O The total value discounted from the original price of the car when the rebate is $13,000. O The new price of the car when the discount is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10%) is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10% ) is $3194. O The new price of the car when the rebate is $13,000.
Transcribed Image Text:A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers a $1750 rebate on the purchase of a new car. Suppose x is the sticker price of a car If only the 10% discount applies, then f(x) = 0.9x represents the purchase price. If only the 10% rebate applies, then g(x) = x - 1750 represents the purchase price. (a) Find a formula for H(x) = f(g(x)) = (b) Find H-¹(13,000). (Round your answer to the nearest whole number.) H-¹(13,000) (c) What does your answer in part (b) represent? O The total value discounted from the original price of the car when the rebate is $13,000. O The new price of the car when the discount is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10%) is $13,000. O The original price of the car when the discounted price ($1750 rebate, then 10% ) is $3194. O The new price of the car when the rebate is $13,000.
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