Question

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written
using function notation?
f(x)=
x+4
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Answer 1

Answer:

f(x)=-3x+4

Step-by-step explanation:

We need to solve for y.

9x+3y=12

Subtract 9x on both sides.

3y=-9x+12

Divided both sides by 3.

y=-3x+4

Replace y with f(x).

f(x)=-3x+4

Answer 2

Answer:

$f(x)=-3x+4$

Step-by-step explanation:

the function represented by $9x + 3y = 12$

To write the given equation in f(x), we need to solve for y

Lets solve the given equation for y

$9x + 3y = 12$

Subtract 9x from both sides

$3y =-9x+12$

Now divide whole equation by 3, divide each term by 3

$y =-3x+4$

To write it as a function , finally we replace y with f(x)

$f(x)=-3x+4$