設f(x)+g(x)=5x-6,f(x)-g(x)=x 10則f(3)+g(-3)=?

2016-05-15 2:30 am

回答 (2)

2016-05-15 4:11 am
f(x)+g(x)=5x-6 i
f(x)-g(x)=x+10 ii
i+ii
2f(x)=6x+4
f(x)=3x+2
(3x+2)+g(x)=5x-6
g(x)=2x-8
f(3)+g(-3)
=3(3)+2+2(-3)-8
=-3
2016-05-15 2:45 am
設f(x)+g(x)=5x-6,f(x)-g(x)=x+10則f(3)+g(-3)=?
Sol
f(x)+g(x)=5x-6
f(x)-g(x)=x+10
[f(x)+g(x)]+[f(x)-g(x)]=(5x-6)+(x+10)
2f(x)=6x+4
f(x)=3x+2
g(x)=(5x-6)-(3x+2)=2x-8
f(3)+g(-3)
=(3*3+2)+[2*(-3)-8]
=11-14
=-3


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