Let $f$ and $g$ be twice differentiable functions on $R$ such that $f ^ { \prime \prime } ( x ) = g ^ { \prime \prime } ( x ) + 6 x$ $f ^ { \prime } ( 1 ) = 4 g ^ { \prime } ( 1 ) - 3 = 9$ $f ( 2 ) = 3 g ( 2 ) = 12$ Then which of the following is NOT true ? (1) $g ( - 2 ) - f ( - 2 ) = 20$ (2) If $- 1 < x < 2$, then $| f ( x ) - g ( x ) | < 8$ (3) $\left| f ^ { \prime } ( x ) - g ^ { \prime } ( x ) \right| < 6 \Rightarrow - 1 < x < 1$ (4) There exists $x _ { 0 } \in \left( 1 , \frac { 3 } { 2 } \right)$ such that $f \left( x _ { 0 } \right) = g \left( x _ { 0 } \right)$
Let $f$ and $g$ be twice differentiable functions on $R$ such that
$f ^ { \prime \prime } ( x ) = g ^ { \prime \prime } ( x ) + 6 x$
$f ^ { \prime } ( 1 ) = 4 g ^ { \prime } ( 1 ) - 3 = 9$
$f ( 2 ) = 3 g ( 2 ) = 12$
Then which of the following is NOT true ?
(1) $g ( - 2 ) - f ( - 2 ) = 20$
(2) If $- 1 < x < 2$, then $| f ( x ) - g ( x ) | < 8$
(3) $\left| f ^ { \prime } ( x ) - g ^ { \prime } ( x ) \right| < 6 \Rightarrow - 1 < x < 1$
(4) There exists $x _ { 0 } \in \left( 1 , \frac { 3 } { 2 } \right)$ such that $f \left( x _ { 0 } \right) = g \left( x _ { 0 } \right)$