"Find $f\left(3\right)$" means to find the output of function $f\left(x\right)$ for an input of $x=3$. For the function $f\left(x\right)=\frac{1}{x-2}$ , find each of the following values.

1. Find $f\left(4\right)$. (This means find the output of the function when $x=4$.)

   Step 1(a):

   Substitute $4$ for each $x$.

   $f(4)=\frac{1}{4-2}$

   Step 2(a):

   Simplify.

   Answer (a):

   $f(4)=\frac{1}{2}$

2. Find $x$ when $f(x)=1$. (This means find the input that gives an output of $1$.)

   Step 1(b):

   Substitute $1$ for $f(x)$.

   $1=\frac{1}{x-2}$

   Step 2(b):

   Solve for $x$ (multiply both sides by $x−2$).

   Answer (b):

   $x=3$