Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x as the independent variable?

Question

contestada

Respuesta :

jimrgrant1 jimrgrant1 · Answer 1 · 2019-06-06T21:39:13+02:00

Answer:

f(x) = 6x + 9

Step-by-step explanation:

Given

y - 6x - 9 = 0

Express the equation with y as the subject

Add 6x + 9 to both sides

y = 6x + 9

To express in functional notation let y = f(x), hence

f(x) = 6x + 9

Answer Link

ApusApus ApusApus · Answer 2 · 2019-09-25T16:40:47+02:00

Answer:

A. [tex]f(x)=6x+9[/tex]

Step-by-step explanation:

We have been given an equation [tex]y-6x-9=0[/tex]. We are asked to write our given equation in function notation with x as the independent variable.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.

[tex]y-6x-9=0[/tex]

[tex]y-6x+6x-9=0+6x[/tex]

[tex]y-9=6x[/tex]

[tex]y-9+9=6x+9[/tex]

[tex]y=6x+9[/tex]

Now, we will replace [tex]y[/tex] with [tex]f(x)[/tex].

[tex]f(x)=6x+9[/tex]

Therefore, our required function would be [tex]f(x)=6x+9[/tex] and option A is the correct choice.