If g(x) = x divided by the square root of x + 5, find g(a+h).

To find g(a+h), we substitute x = a+h into the function g(x):

g(a+h) = (a+h) / sqrt(a+h + 5)

To find g(a+h), we substitute (a+h) for x in the equation g(x) = x / √(x + 5).

g(a+h) = (a+h) / √((a+h) + 5)

So, g(a+h) = (a+h) / √(a+h+5)