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?
( f(x) = 6x + 9 )
( f(x) = \frac{1}{6}x + \frac{3}{2} )
( f(y) = 6y + 9 )
( f(y) = \frac{1}{6}y + \frac{3}{2} )

Explanation:

Step1: Isolate $y$

Start with the given equation:
$y - 6x - 9 = 0$
Add $6x + 9$ to both sides:
$y = 6x + 9$

Step2: Rewrite in function notation

Since $x$ is the independent variable, replace $y$ with $f(x)$:
$f(x) = 6x + 9$

Answer:

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