Function y = 3-5x-1 / 5x ^ - 1 (x is greater than 0) to find the maximum value of Y

Function y = 3-5x-1 / 5x ^ - 1 (x is greater than 0) to find the maximum value of Y


y



The maximum value of function y = (x + 1) / (x ^ 2 + 5x + 6) (x > - 1)
The basic inequality of application,


1/y=(x²+5x+6)/(x+1)
=[(x+1)(x+4)+2]/(x+1)
=(x+1)(x+4)/(x+1)+2/(x+1)
=x+4+2/(x+1)
=(x+1)+2/(x+1)+3
x>-1
x+1>0
So (x + 1) + 2 / (x + 1) > = 2 √ [(x + 1) * 2 / (x + 1)] = 2 √ 2
So 1 / Y > = 3 + 2 √ 2
So 0



5.5x-x=8.
Be complete


5.5x-x=8.1
(5.5-1)x=8.1
4.5x=8.1
x=8.1÷4.5
x=1.8

Elden Ring Premiere

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