Answer:
[tex]\huge \boxed{B.\ f(x) = 4x - 8}[/tex]
Equations
Question
Which of the following equations is equivalent to [tex]4x - y = 8[/tex]?
A. [tex]f(x) = 4x + 8[/tex]
B. [tex]f(x) = 4x - 8[/tex]
C. [tex]f(x) = - 4x + 8[/tex]
D. [tex]f(x) = -4x - 8[/tex]
Solution
[tex]\rm{[Sol]}\\4x-y=8\\\rm{Transpose\ 4x\ to\ the\ other\ side\ of\ the\ equation.}\\\rm{Doing\ this\ will\ change\ its\ sign.\ 4x \Rightarrow -4x}\\-y=-4x+8\\\rm{Then,\ multiply\ both\ sides\ of\ the\ equation\ by\ -1\ to\ remove\ the\ negative\ sign\ on\ y.}\\-1(-y)=(-4x+8)-1\\y = 4x-8\\\rm{Change\ y\ to\ f(x).}\\The\ result\ will\ be\ \boxed{f(x)=4x-8} .[/tex]
From the choices, the answer is B. f(x) = 4x - 8.
[tex]\pink{\overbrace{\underbrace{\tt{Happy\ learning!}}}}[/tex]
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