# functions Problem

• January 9th 2007, 12:19 PM
qbkr21
functions Problem
Enter Yes or No in each answer space below to indicate whether the corresponding equation defines $Y$ as a function of $X$

1. 8x=y^2
2. 8+x=y^3
3. x^2+1y=9
4. (x^2)*y+y=3

Thanks
• January 9th 2007, 12:23 PM
ThePerfectHacker
Quote:

Originally Posted by qbkr21
Enter Yes or No in each answer space below to indicate whether the corresponding equation defines $Y$ as a function of $X$

1. 8x=y^2

No.
$y=\pm \sqrt{8x}$ 2 solutions.
Quote:

2. 8+x=y^3
Yes
$y=\sqrt[3]{8+x}$ 1 solution.
Quote:

3. x^2+1y=9
Yes.
$y=\frac{9}{x^2+1}$ 1 solution.
Quote:

4. (x^2)*y+y=3
Yes
$y(1+x^2)=3$
$y=\frac{3}{1+x^2}$ 1 Solution