Question

Can someone please help me solve this math problem? The math problem is in the picture, I can't use words for answers. Only infinity symbols, numbers, etc. THANKS!

Answer 1

f(x) = 3x

Explanation:

You want the relation 3x -y = -6x +2y written as a function of x.

Solve for y

This is solved the same way any 3-step linear equation is solved:

1. Add the opposite of the -y term to get y-terms together:
   3x = -6x +2y +y ⇒ 3x = -6x +3y
2. Add the opposite of the unwanted x-term on the y-side of the equation:
   3x +6x = 3y ⇒ 9x = 3y
3. Divide by the coefficient of y:
   3x = y

Function of x

Now you have the function written in terms of x:

y = 3x

In functional notation, this is ...

f(x) = 3x