Question

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

a) f(x)=−3x+4
b) R(x)=− 3x+4
c) F=−3y+4
d) Sy =−1/3 x+4

Answer 1

To express 9x+3y=12 using function notation with x as the independent variable, first isolate y to obtain y=4-3x, which can then be written in function notation as R(x) = -3x + 4.

Step-by-step explanation:

The function represented by 9x+3y=12 can be rewritten in function notation by solving for y in terms of x, making y the dependent variable. Starting with the original equation:

9x + 3y = 12

We can solve for y by isolating it on one side of the equation:

3y = 12 - 9x

To find y, divide both sides of the equation by 3:

y = 4 - 3x

This can be written in function notation as:

f(x) = 4 - 3x

Therefore, the correct option using function notation is:

b) R(x) = -3x + 4