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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
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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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
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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