Question #308080

Question 4 [7]


Prove that 𝑓(𝑥) = 𝑥^2 + 2𝑥 is not injective.

1
Expert's answer
2022-03-09T10:14:39-0500

Since 𝑓(0)=02+20=0𝑓(0) = 0^2 + 2\cdot 0=0 and 𝑓(2)=(2)2+2(2)=44=0,𝑓(-2) = (-2)^2 + 2(-2)=4-4=0,we conclude that f(0)=f(2),f(0)=f(-2), and hence ff is not injective.



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