The value of x such that 32x−2(3x+2)+81=0 is
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32x−2(3x+2)+81=0 32x−2×3x×32+81=0 32x−3x×18+81=0 (3x)2−18×3x+81=0 (3x−9)2=0⇒(3x−9)=0 3x=9⇒3x=32⇒x=2
The maximum value of the function f(x)=−|x+1|+3 is