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?

a f(x) = x + 4
b f(x) = –y + 4
c f(x) = –x – 4
d f(x) = y – 4

Answer 1

y – x – 4 = 0
+x +x
y - 4 = x
+4 +4
y = x +4

answer
a f(x) = x + 4

Answer 2

we have

`y-x-4=0`

we know that

If x is the independent variable

then

isolate the variable y

Adds
`(x+4)` both sides

`y-x-4+(x+4)=0+(x+4)`

`y=x+4`

Convert to function notation

Let

`f(x)=y`

`f(x)=x+4`

therefore

the answer is the option A

`f(x)=x+4`