QuestionWrite the function $9x + 3y = 12$ in function notation as $f(x)$ .

Studdy Solution

STEP 1

Assumptions1. The function is given by $9x +3y =12$ . $x$ is the independent variable3. We want to express the function in the form $f(x) = mx + c$ , where $m$ is the slope and $c$ is the y-intercept

STEP 2

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting $9x$ from both sides of the equation.
$y = -9x +12$

STEP 3

Next, we need to get $y$ alone on one side of the equation. We can do this by dividing every term by $3$ .
$y = -3x +$

STEP 4

Now that we have $y$ alone on one side of the equation, we can rewrite the equation using function notation. In function notation, $y$ is replaced with $f(x)$ .
$f(x) = -3x +4$ So, the function $9x +3y =12$ can be written using function notation as $f(x) = -3x +4$ .

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