#6 01.04 Combinations of Functions

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nqnzsneal18

Mathematics

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Explanation & Answer

f(x)=2x-5    g(x)=1-x

(f+g)(x)=f(x)+g(x)=2x-5+1-x=x-4

(f-g)(x)=f(x)-g(x)=2x-5-(1-x)=3x-6

(fg)(x)=f(x)*g(x)=(2x-5)*(1-x)=2x-2x^2-5+5x=-2x^2+7x-5

(f/g)(x)=f(x)/g(x)=(2x-5)/(1-x)

the domain of is (f/g)(x) is (-infinity, 1) U (1, infinity)


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