Answer: First option.
Step-by-step explanation:
Given the equation [tex]y-x-4=0[/tex], you need to substitute [tex]f(x)=y[/tex] into this equation. Then:
[tex]f(x)-x-4=0[/tex]
Remember that the Addition property of equality states that:
[tex]If\ a=b\\then\ a+c=b+c[/tex]
Then, you can add "x" and 4 to both sides.
Therefore, you get the equation written in function notation, with "x" as the independent variable:
[tex]f(x)-x-4+(4)+(x)=0+(4)+(x)\\f(x)=x+4[/tex]
