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{{ printedBook.courseTrack.name }} {{ printedBook.name }} To determine the inverse of the function, we first have to find the equation of the given graph. From the diagram, we see that the graph is a straight line which means we can write it on Slope-Intercept Form. $y=mx+b $ In this form, $m$ is the lines slope and $b$ is the $y$-intercept.

From the graph, we can identify the $y$-intercept as $b=-4$ and the slope as $m=22 =1.$ $y=1⋅x+(-4)⇔y=x−4 $ By solving this equation for $x,$ and switching the roles of $x$ and $y,$ we can identify the inverse. Finally, to find the inverse, we change the roles of $x$ and $y.$ $inverse:switchxandy: x=y+4y=x+4 $ The inverse function is $y=x+4.$