Q. 1 B4.3( 38 Votes )

# Find the maximum

It is given that f (x) = 9x2 + 12x + 2 = (3x + 2)2 - 2

Now, we can see that (3x + 2)2 ≥ 0 for every x ϵ R

f (x) = (3x + 2)2 - 2 ≥ -2 for every x ϵ R

The minimum value of f is attained when 3x + 2 = 0

3x +2 =0

Then, Minimum value of

Therefore, function f does not have a maximum value.

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