Answer
one-to-one function
inverse: $f^{-1}(x)=x-8$
Work Step by Step
Some of the ordered pairs of the given function, $
f(x)=x+8
$, are $
\left\{(-2,6)(-1,6),(0,8),(1,9),(2,10),...\right\}
$. Note that every $y$-coordinate from this function is unique. Hence, the given function is a one-to-one function.
To find the inverse, let $y=f(x)$. Then, interchange the $x$ and $y$ variables and solve for $y$. That is,
\begin{align*}
y=x+8
\Rightarrow&
x=y+8
&(\text{interchange $x$ and $y$})
\\&
x-8=y
&(\text{solve for $y$})
\\&
y=x-8
.\end{align*}
Hence, the inverse is $
f^{-1}(x)=x-8
$.
