Final answer:
f(1) does not have a real value for the function f(x) = √x - 14/4, as it involves the square root of a negative number.
Step-by-step explanation:
To find the value of f(1) for the function f(x) = √x - 14/4, we simply substitute x = 1 into the function:
√(1 - 14) / 4 = √(-13) / 4
Since the square root of a negative number is not defined in the set of real numbers, f(1) does not have a real value. Therefore, we cannot find a numerical value for f(1) to the nearest hundredth.