\left. \begin{array} { l } { f ( x ) = x - 2 , g ( x ) = x ^ { 2 } + 3

1.	\left. \begin{array} { l } { f ( x ) = x - 2 , g ( x ) = x ^ { 2 } + 3 x + 1 } \\ { f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { x - 2 } { x + 2 } } \end{array} \right.
Answer» put the value of x in given equation 1) fog(x) = (x²+3x+1)-2 = x²+3x-1 gof(x) = (x-2)²+3(x-2)+1 2) fog(x) = x+2/x-2. gof(x) = 1/x-2/(1/x+2) = 1-2x/(1+2x)

\left. \begin{array} { l } { f ( x ) = x - 2 , g ( x ) = x ^ { 2 } + 3 x + 1 } \\ { f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { x - 2 } { x + 2 } } \end{array} \right.

Answer»

put the value of x in given equation

1) fog(x) = (x²+3x+1)-2 = x²+3x-1 gof(x) = (x-2)²+3(x-2)+1

2) fog(x) = x+2/x-2. gof(x) = 1/x-2/(1/x+2) = 1-2x/(1+2x)