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.

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`