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If f(x) = ax+5, and f(f(x)) = 4x-5, find a.

Answer = -2.

How do you solve?

So you plug in 4x-5 to f(x) = ax+5 to f(f(x)) Now its just easy algebra a(4x-5)+5 = 4(ax+5)-5 --You distribute and both 4ax cancel out -5a+5 = 20-5 -5a = 10 a = -2

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