Question

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?
A. f(x)=6x+9
B. f(x)=1/6x+3/2
C. f(y)=6y+9
D. f(y)=1/6y+3/2

Answer 1

The answer is option A. As we can clearly see that f(x) is a dependent function and it’s dependent on an independent variable x

Answer 2

Answer:

Option A is correct .i.,e f(x) = 6x + 9

Step-by-step explanation:

Given Equation, y - 6x - 9 = 0

We have to write given equation in function notation with x as independent variable.

To find a function with x as independent variable we must express the given equation in terms of x.

Consider,

y - 6x - 9 = 0

transpose 9 to RHS

y - 6x = 0 + 9

y - 6x = 9

transpose 6x to RHS

y = 9 + 6x

f(x) = 6x + 9

So, Option A is correct .i.,e f(x) = 6x + 9