Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using function notation?


f(x) = _ x + 4

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solve for y because x is the independent variable...

9x+3y=12  divide the entire equation by 3

3x+y=4  subtract 3x from both sides

y=-3x+4

The equation as a function is [tex]f(x) = - 3x + 4[/tex]

The equation of the function is given as:

[tex]9x + 3y = 12[/tex]

Subtract 9x from both sides of the equations

[tex]3y = 12 - 9x[/tex]

Rewrite the equation as:

[tex]3y = - 9x + 12[/tex]

Divide through by 3

[tex]y = - 3x + 4[/tex]

Express y as a function of x

[tex]f(x) = - 3x + 4[/tex]

Hence, the equation as a function is [tex]f(x) = - 3x + 4[/tex]

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