To calculate the range of the given function we first need to calculate for the inverse of the function; y=sqrt(x)-5 this can be written as: y+5=sqrt(x) From the above equation we can conclude that we can get the squaring of all values of x such that: x≥-5 otherwise we won't get any square root since the square roots of negative numbers will complex numbers; thus we conclude that the range of the function is {y∈R: y≥-5} since -4 is included in this set, then our answer is option [A]
