iran-konkur 2013 Q102

iran-konkur · Other · konkur-riazi_1392 Composite & Inverse Functions Determine Domain or Range of a Composite Function
102- The figure shows the graph of $y = f(x)$. The domain of $y = \sqrt{xf(x)}$ is which of the following?
[Figure: Graph of $f(x)$ showing a curve passing through points $-3$, $1$, $2$ on the x-axis, with minimum near $x=-4$]
  • [(1)] $[0, 2]$
  • [(2)] $[-3, 2]$
  • [(3)] $[-4,-3] \cup [1, 2]$
  • [(4)] $[-3,0] \cup [1, 2]$
\textbf{102-} The figure shows the graph of $y = f(x)$. The domain of $y = \sqrt{xf(x)}$ is which of the following?

\textit{[Figure: Graph of $f(x)$ showing a curve passing through points $-3$, $1$, $2$ on the x-axis, with minimum near $x=-4$]}

\begin{itemize}
\item[(1)] $[0, 2]$
\item[(2)] $[-3, 2]$
\item[(3)] $[-4,-3] \cup [1, 2]$
\item[(4)] $[-3,0] \cup [1, 2]$
\end{itemize}