Input and output notation is given for two functions The profit generated by the sale of c computer chips is P(c) dollars. The number of computer chips a manufacturer produces during t hours of production is C(t) chips. (a) Determine whether the pairs of functions can be combined by function composition. O Yes O No If the pair of functions can be combined by function composition, draw and label its input/output diagram thours C C(t) computer chips The functions cannot be combined by function composition P P(C(t)dollars c chips t hours P(c) dollars P(t) dollars C C C(P(c)) chips C(P(tdollars (b) If the pair of functions can be combined by function composition, choose the function notation for the new function OP(c) the profit in dollars generated by the sale of c computer chips O C(P(t)) the cost aftert hours of production O P(C(t)) the profit generated from the sale of computer chips produced after t hours O C(t)the number of chips a manufacturer has produced after t hours of production O The functions cannot be combined by function composition.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Input and output notation is given for two functions
The profit generated by the sale of c computer chips is P(c) dollars.
The number of computer chips a manufacturer produces during t hours of production is C(t) chips.
(a) Determine whether the pairs of functions can be combined by function composition.
O Yes
O No
If the pair of functions can be combined by function composition, draw and label its input/output diagram
thours
C
C(t) computer chips
The functions cannot be combined by function composition
P
P(C(t)dollars
c chips
t hours
P(c) dollars
P(t) dollars
C
C
C(P(c)) chips
C(P(tdollars
(b) If the pair of functions can be combined by function composition, choose the function notation for the new function
OP(c) the profit in dollars generated by the sale of c computer chips
O C(P(t))
the cost aftert hours of production
O P(C(t))
the profit generated from the sale of computer chips produced after t hours
O C(t)the number of chips a manufacturer has produced after t hours of production
O The functions cannot be combined by function composition.
Transcribed Image Text:Input and output notation is given for two functions The profit generated by the sale of c computer chips is P(c) dollars. The number of computer chips a manufacturer produces during t hours of production is C(t) chips. (a) Determine whether the pairs of functions can be combined by function composition. O Yes O No If the pair of functions can be combined by function composition, draw and label its input/output diagram thours C C(t) computer chips The functions cannot be combined by function composition P P(C(t)dollars c chips t hours P(c) dollars P(t) dollars C C C(P(c)) chips C(P(tdollars (b) If the pair of functions can be combined by function composition, choose the function notation for the new function OP(c) the profit in dollars generated by the sale of c computer chips O C(P(t)) the cost aftert hours of production O P(C(t)) the profit generated from the sale of computer chips produced after t hours O C(t)the number of chips a manufacturer has produced after t hours of production O The functions cannot be combined by function composition.
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