Answer
a) -19
b) 3
c) 31
Work Step by Step
(a)
As $-3<0$ , the first part of the piecewise function will be applicable for $x=-3$.
$\begin{align}
& f\left( x \right)=6x-1 \\
& f\left( -3 \right)=6\left( -3 \right)-1 \\
& f\left( -3 \right)=-18-1 \\
& f\left( -3 \right)=-19
\end{align}$
Hence, the value of $f\left( -3 \right)$ is $-19$.
(b)
As $x=0$ , the second part of the piecewise function will be applicable for $x=0$.
$\begin{align}
& f\left( x \right)=7x+3 \\
& f\left( 0 \right)=7\left( 0 \right)+3 \\
& f\left( 0 \right)=0+3 \\
& f\left( 0 \right)=3
\end{align}$
Hence, the value of $f\left( 0 \right)$ is $3$.
(c)
As $4\ge 0$ , the second part of the piecewise function will be applicable for $x=4$.
$\begin{align}
& f\left( x \right)=7x+3 \\
& f\left( 0 \right)=7\left( 4 \right)+3 \\
& f\left( 0 \right)=28+3 \\
& f\left( 0 \right)=31
\end{align}$
Hence, the value of $f\left( 4 \right)$ is $31$.
