An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x).
-$$x + 3 y = 4$$
A) $f ( x ) = - \frac { 1 } { 3 } x + \frac { 4 } { 3 }$
B) $f ( x ) = 3 x - 4$
C) $f ( x ) = - x + \frac { 4 } { 3 }$
D) $f ( x ) = \frac { 1 } { 3 } x + \frac { 4 } { 3 }$

Question

Quizplus · Accepted Answer

To rewrite the equation $x + 3y = 4$ in function notation $f(x)$, where $y$ is expressed as a function of $x$, we solve for $y$:$$3y = -x + 4$$$$y = -\frac{1}{3}x + \frac{4}{3}$$Thus, $f(x) = -\frac{1}{3}x + \frac{4}{3}$.

An Equation That Defines Y as a Function of X x+3y=4x + 3 y = 4x+3y=4

An Equation That Defines Y as a Function of X $x + 3 y = 4$