### Home > PC > Chapter 10 > Lesson 10.2.2 > Problem10-86

10-86.

Suppose that $x =\frac { 1 } { t ^ { 2 } + 1 }$ and $y = t^{2}$ with $−∞ ≤ t ≤ ∞$.

1. Express $x$ as a function of $y$.

$\textit{x}=\frac{1}{\textit{y}+1}$

2. Express $y$ as a function of $x$.

Rewrite the answer from part (a) in $y =$ form.

3. How would the graph be different if we had $x = \frac { 1 } { u + 1 }$ and $y = u$ with $−∞ ≤ u ≤ ∞$?

How are the range values of $y = x$ and $y = x^2$ different?