Question

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

function notation?
fl) = -5v+
f(x) = - 3x + 4
fix) = - {x +
OFY = - 3y + 4

Answer 1

f(x) = - 3x + 4

Explanation:

Given

9x + 3y = 12

We require to rearrange expressing y in terms of x

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4

Expressed in functional notation by replacing y by f(x), that is

f(x) = - 3x + 4