Question

What is the equation written in function notation, with x as the independent variable?

Answer 1

As x is the independient variable write y in terms of x (solve y):

$x-y=3$

Subtract x in both sides of the equation:

$\begin{gathered} x-x-y=-x+3 \\ -y=-x+3 \end{gathered}$

Multiply both sides of the equation by -1:

$\begin{gathered} (-1)(-y)=(-1)(-x+3) \\ y=x-3 \end{gathered}$

Substitute the y by f(x) to write it in function notation:

$f(x)=x-3$Answer: f(x)=x-3