Final answer:
The range of the function y = V/x + 5, with V being constant and x > 0, is y > 5, since y approaches 5 from above as x increases and becomes arbitrarily large as x approaches zero from the positive side.
Step-by-step explanation:
You're asking about the range of the function y = V/x + 5. Assuming 'V' is a constant and 'x' is the independent variable, the range of this function is all the values that 'y' can take on, depending on 'x'. However, since 'x' appears in the denominator, 'x' cannot be zero since division by zero is undefined. To determine the range, we can look at how 'y' behaves as 'x' approaches different values. As 'x' gets larger, 'V/x' gets closer to zero and so 'y' will approach 5 from above. As 'x' approaches zero from the positive side, 'V/x' grows without bound, which means 'y' can be arbitrarily large. However, if 'x' is negative, 'V/x' is also negative and so 'y' could approach 5 from below, but we're given that y > -5, which means our 'x' cannot take on negative values. With this information, we can conclude that the range of the function is y > 5.