Question

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using function notation?

Answer 1

Consider the function represented by 9x + 3y = 12 with x as the independent variable.

Consider the equation 9x + 3y = 12

Dividing the given equation by '3' on both the sides, we get

3x + y = 4

Determining the value of 'y' from the given equation, we get

y = 4 - 3x

Since, y = f(x)

So, f(x) = 4 - 3x

Therefore, the function represented to the given equation is f(x)  = 4 - 3x.

Answer 2

Consider the function represented by 9x + 3y = 12 with x as the independent variable.

Consider the equation 9x + 3y = 12

Dividing the given equation by '3' on both the sides, we get

3x + y = 4

Determining the value of 'y' from the given equation, we get

y = 4 - 3x

Since, y = f(x)

So, f(x) = 4 - 3x

Therefore, the function represented to the given equation is f(x)  = 4 - 3x.