Simplify the composite function, P(q(t)). Distribute and expand, simplify the fractional term, and then combine like terms. P(q(t)) 180(650 + 10t) (650 + 10t)2 250 100 = 117,000 + 422,500 + 13,000t + 100t2 - 250 100 (4,25 )e +t²) - 250 = 117,000 + 1,800t - = 112,525+ Thus, (P o q)(E) = P(q(t))
Simplify the composite function, P(q(t)). Distribute and expand, simplify the fractional term, and then combine like terms. P(q(t)) 180(650 + 10t) (650 + 10t)2 250 100 = 117,000 + 422,500 + 13,000t + 100t2 - 250 100 (4,25 )e +t²) - 250 = 117,000 + 1,800t - = 112,525+ Thus, (P o q)(E) = P(q(t))
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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Transcribed Image Text:Simplify the composite function, P(q(t)). Distribute and expand, simplify the fractional term, and then
combine like terms.
P(q(t))
180(650 + 10t) -
(650 + 10t)2
- 250
%3D
100
Dt - 422,500 + 13,000t + 100t2
)e-
= 117,000 +
250
%3D
100
117,000 + 1,800t – (4,225 +
It +
250
%3D
112,525 +
t2
%3D
Thus, (P o q)(t) = P(q(t))
%3D
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