Question

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

f of x = 6 x + 9
f of x = one-sixth x + three-halves
f of y = 6 y + 9
f of y = one-sixth y + three-halves

Answer 1

Answer: First option.

Step-by-step explanation:

You know that the function represented by the equation is the following:

$y-6x-9=0$

Then, you can follow these steps in order write the equation in function notation with "x" as the independent variable:

1. Solve for "y":

Add $6x$ to both sides:

$y-6x-9+6x=0+6x\\\\y-9=6x$

Add 9 to both sides:

$y-9+9=6x+9\\\\y=6x+9$

2. Since $f(x)$ is a common way of representing "y", you get:

$f(x)=6x+9$

Answer 2

Answer:

a) f(x) = 6x+9

Step-by-step explanation:

I hope this helps! Please mark the person above me brainliest because they had the better answer. Thanks! :)