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For all real numbers x , f(2x) = x^(2) -...

For all real numbers x , f(2x) = `x^(2) - x + 3 `. An expression for f(x) in terms of x is

A

`2x^(2) - 2x + 3`

B

`4x^(2) - 2x + 3`

C

`(x^(2))/(4) - (x)/(2) + 3`

D

`(x^(2))/(2) - (x)/(2) + 3`

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x) = f (2 * (x)/(2)) = ((x)/(2))^(2) - (x)/(2) + 3 = (x^(2))/(4) - (x)/(2) + 3 `.
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