Answer
$\color{blue}{\bf{( a ) 5 } }$
$\color{blue}{\bf{( b ) 5 } }$
$\color{blue}{\bf{( c ) 0 } }$
$\color{blue}{\bf{( d ) undefined } }$
Work Step by Step
$\bf{(a)}$We are given a table and asked to find:
$(f+g)( 2 )$
$f( 2 )+g( 2 )$
From the given table we see that:
$f( 2 )= 7 $ and $g( 2 )= -2 $
$ 7 + -2 $
$\color{blue}{\bf{ 5 } }$
$\bf{( b )}$We are asked to find:
$( f-g )( 4 )$
$f( 4 )-g( 4 )$
From the given table we see that:
$f( 4 )= 10 $ and $ g( 4 )= 5 $
$ 10 - 5 $
$\color{blue}{\bf{ 5 } }$
$\bf{( c )}$We are asked to find:
$( fg )( -2 )$
From the given table we see that:
$f( -2 )= 0 $ and $g( -2 )= 6 $
$( 0 )( 6 )$
$\color{blue}{\bf{ 0 } }$
$\bf{( d )}$We are asked to find:
$( \dfrac{f}{g} )( 0 )$
From the given table we see that:
$f( 0 )= 5 $ and $ g( 0 )= 0 $
$\dfrac{ 5 }{ 0 }$
Division by zero is $\color{blue}{\bf{ undefined }}$
