How do you find the domain for #h(c)=c/(c^2+25)#?
The domain is
Our only restrictions to the domain will occur when the denominator of the fraction equals
We can try to find the domain restrictions then by:
#c^2+25=0" "=>" "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