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Concept explainers
Consumer Issues. You work in a department store in which employees are entitled to a 30% discount on their purchases. You also have a coupon worth $5 off any item. Let x represent the retail price of an item,
a. Write a function ix) that models discounting an item by 30%.
b. Write a function g(x) that models applying the coupon.
c. Use a composition of your two functions from (a) and (b) to model your cost for an item assuming that the clerk applies the discount first and then the coupon.
d. Use a composition of your two functions from (a) and (b) to model your cost for an item assuming that the clerk applies the coupon first and then the discount.
e. Use the composite functions from (c) and (d) to find how much more an item costs assuming that the clerk applies the coupon first.
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Chapter 1 Solutions
Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)
- Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1 - - - f(x) = ☐arrow_forwardx-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)arrow_forwardFill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. π/2 So/² 2xcosx dx Find the volume of the solid obtained when the region under the curve 38,189 on the interval is rotated about the axis.arrow_forward
- Let f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer. Type an integer or a decimal.)arrow_forwardFor the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y= f(x) = x²+x; x=-1,x=2 a. Which of the following formulas can be used to find the slope of the secant line? ○ A. 2-(-1) f(2) f(-1) 2+(-1) C. 1(2)+(-1) The equation of the secant line is 1(2)+(-1) О в. 2+(-1) f(2)-(-1) D. 2-(-1)arrow_forwardplease do not use chat gptarrow_forward
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