perplexus.info :: Just Math : Find all possible values of x

Find all possible values of x (Posted on 2024-02-23)

Given that f(f(f(x)))=5.

It is known that:
f(x) = x/2, if x is even and
f(x) = x+1, if x is odd.

Find the possible values of x.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Solution

Comment 2 of 2 |

The inverse function g(x) is:

g(x) = 2x or x-1 if x is even

g(x) = 2x if x is odd

g(5) = 10

g(10) = {9,20}

g({9,20}) = {18,19,40}

Posted by Larry on 2024-02-23 11:54:16

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