Maths Olympiad Prep

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, 2011

Algebra Difficulty 1.0 Junior Prove it Canada

The functions ff and gg satisfy
f(x)+g(x)=3x+5f(x)+g(x)=3x+5
f(x)g(x)=5x+7f(x)-g(x)=5x+7
for all values of xx. Determine the value of 2f(2)g(2)2f(2)g(2).

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