Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)
f(x) = x + 4 / sqrt(x)
Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)
f(x) = x + 4 / sqrt(x)
\(f(x) = x +\frac{ 4 }{ \sqrt{x}}\\ \)
You cannot divide by 0 so x cannot be zero
You cannot find the sqrt of a negative number so x > =0
Put thses together and we get x>0
Since x>0 y must be > 0 too
Anyway, only the x value is of interest so
(0,infinity)
I'll check with a graph.
Yes that is correct