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

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

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


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

Functions

International Baccalaureate Higher Level Mathematics

Functions

Question 3dca0b6a

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