Answer
a) 25
b) -5
c) $-x^3+x+1$
d) $27{{a}^{3}}-3a+1$
Work Step by Step
a)
Putting the value of $x=3$ in the equation as follows:
$\begin{align}
& h\left( 3 \right)={{3}^{3}}-3+1 \\
& =27-3+1 \\
& =25
\end{align}$
b)
Putting the value of $x=-2$ in the equation as follows:
$\begin{align}
& h\left( -2 \right)={{\left( -2 \right)}^{3}}-\left( -2 \right)+1 \\
& =-8+2+1 \\
& =-5
\end{align}$
c)
Putting the value of $x=-x$ in the equation as follows:
$\begin{align}
& h\left( -x \right)={{\left( -x \right)}^{3}}-\left( -x \right)+1 \\
& =-{{x}^{3}}+x+1
\end{align}$
d)
Putting the value of $x=3a$ in the equation as follows:
$\begin{align}
& h\left( 3a \right)={{\left( 3a \right)}^{3}}-\left( 3a \right)+1 \\
& =27{{a}^{3}}-3a+1
\end{align}$
