Question

what is the minimum



value of the above function
f(x) = (2x-1)² +3​

Answer 1

Step-by-step explanation:

=2x²+1²-2.2x.1

=4x²+1-4x+3

=4x²-4x+4

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Answer 2

Answer:

»»————> Here is my answer

$\mathcal\red{♥*♡∞:｡.｡　　KRITIKA}$

Step-by-step explanation:

f(x) = (2x -1) ² + 3

$\underline\green{Finding \: f(x) }$ :-

• f(x) = (2x - 1)² + 3
• f(x) = 2(2x - 1)

$\underline\orange{put \: f(x) \: = \: 0}$

• f(x) = 0
• 2 ( 2x - 1 ) = 0
• 2x - 1 = 0
• 2x = 1
• x = ½

$\huge\underline\blue{Minimum \: value}$ :-

$\huge\bold\pink{put } \green{x \: = \: ½}$

• f(½) = [ 2(½) - 1 ]² + 3
• f(½) = ( 1 - 1 )² + 3
• f(½) = 3

$\huge\bold\red{→}$ The minimum value = 3