Question 963677
Domain: Because the square root function, which is one of the components of the function, requires a non-negative argument so this forces the domain to be non-negative. 
Range: Each of the individual functions that make up the entire function are positive function and the entire function is the sum of the three functions. The minimum of {{{2h}}} occurs at {{{h=0}}} as does the minimum of {{{3sqrt(h)}}}. Both these values are {{{0}}} so the only term that contributes to the value is the constant term {{{10}}}. So the minimum of the function is {{{H=10}}} and the maximum if unbounded making the range [{{{10}}},{{{infinity}}}).