Question

Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x as the independent variable?

Answer 1

f(x) = 6x + 9

Explanation:

Given

y - 6x - 9 = 0

Express the equation with y as the subject

Add 6x + 9 to both sides

y = 6x + 9

To express in functional notation let y = f(x), hence

f(x) = 6x + 9

Answer 2

A.
`f(x)=6x+9`

Explanation:

We have been given an equation
`y-6x-9=0`. We are asked to write our given equation in function notation with x as the independent variable.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.

`y-6x-9=0`

`y-6x+6x-9=0+6x`

`y-9=6x`

`y-9+9=6x+9`

`y=6x+9`

Now, we will replace
`y` with
`f(x)`.

`f(x)=6x+9`

Therefore, our required function would be
`f(x)=6x+9` and option A is the correct choice.