Question

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using
function notation?
FV = -
f(x) = - 3x + 4
f(x) = -
Of = - 3y+4

Answer 1

Answer: Second choice; f(x) = -3x + 4

Step-by-step explanation:

You pretty much want to isolate y, f(x) is also acceptable as y. The term f(x) means the value of the function when you input the x value.

Subtract 9x from both sides to get 3y = 12 - 9x, then divide everything by 3 in order to get y completely alone. You get y = 4 - 3x or f(x) = 4 - 3x

Different way you could potentially write this answer:

y = 4 - 3x

y = -3x + 4

f(x) = 4 - 3x

f(x) = -3x + 4

Each one equals each other and are all perfectly acceptable