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

f(x)=-3x+4

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

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

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`