## Lilmike234 one year ago What is the domain of the function shown below r(x)=x/x^2-9

1. jdoe0001

if you solve the denominator for 0, what do you get for "x"?

2. UsukiDoll

$\large r(x) = \frac{x}{x^2-9}$ our function has a denominator so there is a restriction we can either factor $\large x^2-9$ due to difference of squares formula... or solve $\large x^2-9=0$ for x. There should be 2 solutions.

3. lilmike234

(x:xnot equal to 3) ?

4. UsukiDoll

ummm we're missing another value for x hint $\large x^2-9=0$ difference of squares formula $\large (x+3)(x-3)=0$ now solve for x

5. lilmike234

(x: all real numbers)?

6. UsukiDoll

solve x+3 = 0 and solve x-3=0

7. lilmike234

(x:xnot equal to -3) ?