# If f(x) = 4x - 3, show that f(2x) = 2f(x) + 3

If f(x) = 4x - 3, show that f(2x) = 2f(x) + 3
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liannemdh
Given that the function f(x)=4x−3
Plugging x=2x both sides we have
f(2x)=4(2x)−3
=8x−3
=2(4x−3)+3
=2f(x)+3
Therefore, we get
f(2x)=2f(x)+3