SOLUTION: Find the domain of the function. {{{ f(x) = 8 - sqrt(x^2 + 1) }}}

Algebra ->  Functions -> SOLUTION: Find the domain of the function. {{{ f(x) = 8 - sqrt(x^2 + 1) }}}      Log On


   



Question 470708: Find the domain of the function.
+f%28x%29+=+8+-+sqrt%28x%5E2+%2B+1%29+

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the function.
f(x) = 8 - sqrt(x^2 + 1)
**
Two things to look for: denominators and radicans. Since no denominators, we only need to look at the radican.
The radican (expression inside the radical) must always≥0.
However, in this case, the radican can never be zero because x^2 will always come out positive.
So the domain will be all real numbers or (-∞,∞)