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Rafael has a solar-powered video game console. He saw and modeled the following relationships. Function Input D E G Output The time of year, Hours of daylight, D (2) Hours of daylight, k Amount of solar energy gained over the day, E(k) Amount of solar energy, r Hours of video games Rafael can play, G(r) Which 2 of the following composed functions make sense in this context? i) D(E(k)) ii) G(E(k)) iii) E(G(r)) iv) E(D(x)) Explain with a reason!

Rafael has a solar-powered video game console. He saw and modeled the following relationships. Function Input D E G Output The time of year, Hours of daylight, D (2) Hours of daylight, k Amount of solar energy gained over the day, E(k) Amount of solar energy, r Hours of video games Rafael can play, G(r) Which 2 of the following composed functions make sense in this context? i) D(E(k)) ii) G(E(k)) iii) E(G(r)) iv) E(D(x)) Explain with a reason!

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Rafael has a solar-powered video game console. He saw and modeled the following relationships. Function Input D E G The time of year, Hours of daylight, k Amount of solar energy, Output Hours of daylight, D (2) Amount of solar energy gained over the day, E(k) Hours of video games Rafael can play, G(r) Which 2 of the following composed functions make sense in this context? i) D(E(k)) ii) G(E(k)) iii) E(G(r)) iv) E(D(x)) Explain with a reason!
Transcribed Image Text:Rafael has a solar-powered video game console. He saw and modeled the following relationships. Function Input D E G The time of year, Hours of daylight, k Amount of solar energy, Output Hours of daylight, D (2) Amount of solar energy gained over the day, E(k) Hours of video games Rafael can play, G(r) Which 2 of the following composed functions make sense in this context? i) D(E(k)) ii) G(E(k)) iii) E(G(r)) iv) E(D(x)) Explain with a reason!
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