Answer
The value of given expression is\[-18\].
Work Step by Step
Consider the expression:
$\sqrt{f\left( -1.5 \right)+f\left( -0.9 \right)}-{{\left[ f\left( \pi \right) \right]}^{2}}+f\left( -3 \right)\div f\left( 1 \right)f\left( -\pi \right)$
Calculate the value of the above expression using the graph as follows:
$\begin{align}
& \left[ \sqrt{f\left( -1.5 \right)+f\left( -0.9 \right)}-{{\left[ f\left( \pi \right) \right]}^{2}}+f\left( -3 \right)\div f\left( 1 \right)f\left( -\pi \right) \right]=\sqrt{1+0}-{{\left[ \left( -4 \right) \right]}^{2}}+2\div \left( -2 \right)\left( 3 \right) \\
& =1-16+\left( -1 \right)\left( 3 \right) \\
& =1-16-3 \\
& =-18
\end{align}$
Hence, the value of given expression is $-18$.
