# How do you find the domain for h(c)=c/(c^2+25)?

Jun 23, 2017

The domain is $\left(- \infty , \infty\right)$.

#### Explanation:

Our only restrictions to the domain will occur when the denominator of the fraction equals $0$.

We can try to find the domain restrictions then by:

${c}^{2} + 25 = 0 \text{ "=>" } {c}^{2} = - 25$

This has no real solutions (we can't take the square root of a negative number), so there are no restrictions on the domain.

Thus, the domain is $\left(- \infty , \infty\right)$.