find the maximum and minimum value of function f(x)=(4\x+2)+x
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f(x)=4x²−4x+4
f(x)=4x²−4x+1+3
∴f(x)=(2x−1)²+3
we have, (2x−1)² ≥0 for all x∈R
⇒(2x−1)²+3≥0+3 for all x∈R
∴f(x)≥3 for all x∈R
∴x=3 is the minimum value.
The function doesn't attain the maximum value at any point in its domain.
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