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