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

Respuesta :

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

answer
a f(x) = x + 4

we have

[tex]y-x-4=0[/tex]

we know that

If x is the independent variable

then

isolate the variable y

Adds [tex](x+4)[/tex] both sides

[tex]y-x-4+(x+4)=0+(x+4)[/tex]

[tex]y=x+4[/tex]

Convert to function notation

Let

[tex]f(x)=y[/tex]

[tex]f(x)=x+4[/tex]

therefore

the answer is the option A

[tex]f(x)=x+4[/tex]