Question

Given f(x)=3x2−2x+1 . What is the value of f(−2/3) ?

Answer 1

−5/3

(Decimal: -1.666667)

Answer 2

The answer is
`(11)/(3)`.

Explanation:

`3(-(2)/(3) )x^(2) -2(-(2)/(3) )+1`

Apply rule -(-a)=a

`3(-(2)/(3) )x^(2) -2*(2)/(3) +1`

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

`(-(2)/(3))^(2) =(2^(2) )/(3^(2) )`

`3*(2^(2) )/(3^(2) )+2*(2)/(3) +1`

`(2^(2) )/(3^(2) )=(4)/(9)`

`3*(4)/(9) +2*(2)/(3) +1`

`f(x)=(11)/(3)`