Answer
$\color{blue}{\bf{( a ) 4 } }$
$\color{blue}{\bf{( b ) -2 } }$
$\color{blue}{\bf{( c ) 3 } }$
$\color{blue}{\bf{( d ) -3 } }$
Work Step by Step
$\bf{(a)}$We are given a graph and asked to find:
$(f+g)( 1 )$
$f( 1 )+g( 1 )$
From the given graph we see that:
$y=f( 1 )= 3 $ and $y=g( 1 )= 1 $
$ 3 + 1 $
$\color{blue}{\bf{ 4 } }$
$\bf{( b )}$We are asked to find:
$( f-g )( 0 )$
$f( 0 )-g( 0 )$
From the given graph we see that:
$y=f( 0 )= -2 $ and $y= g( 0 )= 0 $
$ -2 - 0 $
$\color{blue}{\bf{ -2 } }$
$\bf{( c )}$We are asked to find:
$( fg )( -1 )$
From the given graph we see that:
$y= f( -1 )= $ and $y=g( -1 )= $
$( -3 )( -1 )$
$\color{blue}{\bf{ 3 } }$
$\bf{( d )}$We are asked to find:
$( \dfrac{f}{g} )( 1 )$
From the given graph we see that:
$y=f( 1 ) = -3 $ and $y=g( 1 )= 1 $
$\dfrac{ -3 }{ 1 }$
$\color{blue}{\bf{ -3 }}$
