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

Answer:

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

Step-by-step 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.

Answer 2

Answer:

f(x) = 6x + 9

Step-by-step 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