Question

For the function p defined by p(m)=2m2−4m+3, find p(13).

Answer 1

`(17)/(9)`

Explanation:

`2\left((1)/(3)\right)^2-4\left((1)/(3)\right)+3`

`2\left((1)/(9)\right)-4\left((1)/(3)\right)+3`

`(2)/(9)-(4)/(3)+3`

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

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

`(2)/(9)-(12)/(9)+(27)/(9)`

`(2-12+27)/(9)`

`=(17)/(9)`

Answer 2

Option C

Explanation:

=> p(m) =
`2m^2-4m+3`

Putting m =
`(1)/(3)`

=> p(1/3) =
`2((1)/(3))^2-4((1)/(3) )+3`

=> p(1/3) =
`(2)/(9)-(4)/(3) +3`

=> p(1/3) =
`(2-12+27)/(9)`

=> p(1/3) =
`(17)/(9)`