You can put this solution on YOUR website! You are given the equation:
.
4x - 10y = 11
.
and asked to rewrite it as a function of x.
.
All this requires you to do is to solve the equation for y in terms of x and then replace y
by the notation f(x).
.
Your first goal is to get the term containing y by itself on one side of the equation
and everything else on the other side. Begin by getting rid of the 4x on the left side by
subtracting 4x from both sides. When you do that the equation becomes:
.
-10y = -4x + 11
.
Now you can solve for y by dividing both sides of this equation by -10 which is the multiplier
of the y. Dividing both sides (all terms) by -10 results in the equation becoming:
.
.
The simplifies to and the two minus signs cancel so the result is .
Substituting this makes the equation become:
.
.
Then the term involves a division of a negative into a positive. The result
of this (due to the difference in signs) is a negative. Using this rule results in the
equation becoming:
.
.
Now all you have to do is replace "y" by "f(x)" and the answer to your problem is:
.
.
Hope this helps you to understand how to do problems of this type where you are asked to
solve for a function of x.
(