The functions $\mathrm{f}$ and $\mathrm{g}$ are defined by 
$\begin{align}
 & \mathrm{f}:x\mapsto {{x}^{2}}+2x-3,\text{ }x&gt;-3 \\ 
 & \mathrm{g}:x\mapsto 3x-2,\text{ }x\ge 0 \\ 
\end{align}$ 
Show that&nbsp;$\text{fg}$ exists and find $\text{fg}$, stating its domain. Find the range of $\text{fg}$.

The functions $\mathrm{f}$ and $\mathrm{g}$ are defined by 

$\begin{align}
  & \mathrm{f}:x\mapsto {{x}^{2}}+2x-3,\text{      }x>-3 \\ 
 & \mathrm{g}:x\mapsto 3x-2,\text{             }x\ge 0 \\ 
\end{align}$


Show that $\text{fg}$ exists and find $\text{fg}$, stating its domain. Find the range of $\text{fg}$. 

Functions

H2 Math

International Baccalaureate Higher Level Mathematics

Functions

Question 3dca0b6a