Is $3-4U$ equivalent to $4(1-U)$?

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If $U$ is defined to be the uniform distribution on $(0,1)$, is it true that $3-4U\sim4(1-U)$?

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Hint:

  • Are they each uniform on their support?
  • What are the highest and lowest possible values of $3-4U$ ?
  • What are the highest and lowest possible values of $4(1-U)$ ?
  • Do they have the same distribution?