Given:
[tex]T(x)=\frac{500,000}{x^2+400}[/tex]
Asked: At what range distances from the fire's center is the temperature less than 400 degrees Celsius?
Solution:
T(x) < 400 degrees Celsius
We will find x using the given by substituting T(x) < 400.
[tex]\begin{gathered} T(x)=\frac{500,000}{x^2+400} \\ \frac{500,000}{x^2+400}<400 \\ \frac{500,000}{400}29.2 \\ At\text{ distances greater than 29.2m, the temperature is less than 400 degr}ees\text{ Celsius.} \end{gathered}[/tex]
ANSWER: (29.2,infinity)
