9x+3y=12 written in function notation when x is the independent variable

Question

9x+3y=12 written in function notation when x is the independent variable

Answer 1

Given 9x + 3y = 12.

 

The first step in writing the equation in function notation, is to solve for y.

3y = 12 - 9x         Subtract 9x from both sides.

  y = 4 - 3x           Divide both sides (i.e., every term) by 3.

 

Now replace y with f(x), since x is the independent variable.

f(x) = 4 - 3x 

You have now written the equation as a function of x.