Question

Consider the function represented by the equation y – x – 4 = 0. What is the equation written in function notation, with x as the independent variable? f(x) = x + 4 f(x) = –y + 4 f(x) = –x – 4 f(x) = y – 4

Answer 1

Answer: First option.

Step-by-step explanation:

Given the equation $y-x-4=0$, you need to substitute $f(x)=y$ into this equation. Then:

$f(x)-x-4=0$

Remember that the Addition property of equality states that:

$If\ a=b\\then\ a+c=b+c$

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:

$f(x)-x-4+(4)+(x)=0+(4)+(x)\\f(x)=x+4$