## For each real number x, let f(x) be the minimum of the numbers 4x+1,

For each real number x, let f(x) be the minimum of the numbers 4x+1, x+2, and -2x+4. What is the maximum value of f(x)?
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 Quote by azizlwl For each real number x, let f(x) be the minimum of the numbers 4x+1, x+2, and -2x+4. What is the maximum value of f(x)?
Is this a homework problem?

 Quote by Mark44 Is this a homework problem?
No, Sir.
It is too taken from The Advanced Mathematical Thinking where the author said it can be solved by reversal tactic.

Sorry if it is incomplete since I copied whatever written in the book.

Recognitions:

## For each real number x, let f(x) be the minimum of the numbers 4x+1,

Is there a range for these numbers, i.e., is x any real number, integer, subset of these

or other?

 Quote by Bacle2 Is there a range for these numbers, i.e., is x any real number, integer, subset of these or other?