NMC101H1 Lecture : Egyptian Chronology

let f(x)=5x-2 and g(x)=3x+1. write a formula for each of the following functions and then simplify.
a. f+g=
b. f-g=
c. g-f=
d. g+f=
e. fg=
d. ff=

(1 point) If ff is the Fourier series of g(x)={3,16−x2,−4<x<00≤x<4g(x)={3,−4<x<016−x2,0≤x<4, then
f(x)=f(x)=

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+∑n=1∞[(+∑n=1∞[(

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)cos(nπ4x)+()cos⁡(nπ4x)+(

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)sin(nπ4x)])sin⁡(nπ4x)]

What does f(−4)f(−4) equal? f(−4)= f(−4)=

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What does f(−2)f(−2) equal? f(−2)= f(−2)=

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What does f(0)f(0) equal? f(0)= f(0)=

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What does f(3)f(3) equal? f(3)= f(3)=

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What does f(4)f(4) equal? f(4)=