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

$f(x)=x+4$