F(x)=4x²+3x+9Tentukanf(T+3)-f(2)

F(x)=4x²+3x+9Tentukanf(T+3)-f(2)

$f(t + 3) = 4 {(t + 3)}^{2} + 3(t + 3) + 9 = 4( {t}^{2} + 6t + 9) + 3t + 9 + 9 \ = 4 {t}^{2} + 24t + 36 + 3t + 18 \ = 4 {t}^{2} + 27t + 54$
$f(2) = 4( {2}^{2} ) + 3(2) + 9 = 16 + 6 + 9 = 31$
$f(t + 3) - f(2) = 4 {t}^{2} + 27t + 54 - 31 = 4 {t}^{2} + 27t + 23$