A math problem (don't use derivation) Finding the minimum value of X + 1 / (x + 1) (x > 1)

y=x+1/(x+1)
=(x+1)+1/(x+1)-1
Let t = x + 1 (T > 2)
Then y = t + 1 / T-1
When the function T + 1 / T (T > 2) is incremented (T + 1 / T is a very important function, and its image is similar to a check sign, which should be kept in mind)
Therefore, there is no minimum value for Y > 3 / 2

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