Define Functions$F$ And$G$ From$\mathbf { R }$ To$\mathbf { R }$

Question

Examlex · Accepted Answer

The Answer is

F eq G

. Note that for every real number

x

,

G ( x ) = ( x - 2 ) ^ { 2 } - 7 = x ^ { 2 } - 4 x + 4 - 7 = x ^ { 2 } - 4 x - 3

whereas

F ( x ) = ( x + 1 ) ( x - 3 ) = x ^ { 2 } - 2 x - 3

. Thus, for instance,

F ( 1 ) = ( 1 + 1 ) ( 1 - 3 ) = - 4 \quad ext { whereas } \quad G ( 1 ) = ( 1 - 2 ) ^ { 2 } - 7 = - 6

Define Functions $F$ And $G$ From $\mathbf { R }$ To $\mathbf { R }$