Answer
Please see the graph.
Work Step by Step
$f(x)=7x-14$ is the original function.
$f(x)=7x-14$
$y=7x-14$
To find the inverse function, we swap the $x$ and $y$ of this function.
$y=7x-14$
$x=7y-14$
$x+14=7y-14+14$
$x+14=7y$
$(x+14)/7=7y/7$
$x/7 +2=y$
$f^{-1}(x)=x/7 +2$
Original function: $f(x)=7x-14$
Let $x=0$, $x=1$, and $x=2$ to have three points of the graph.
$x=0$
$f(x)=7x-14$
$f(0)=7*0-14$
$f(0)=0-14$
$f(0)=-14$
$x=1$
$f(x)=7x-14$
$f(1)=7*1-14$
$f(1)=7-14$
$f(1)=-7$
$x=2$
$f(x)=7x-14$
$f(2)=7*2-14$
$f(2)=14-14$
$f(2)=0$
The points $(0, -14)$, $(1, -7)$, and $(2,0)$ are parts of the original function. Thus, the inverse function has the points $(-14, 0)$, $(-7, 1)$, and $(0,2)$.
The red line is the original function, and the blue line is the inverse function.
