Answer:
Domain: [- ∞, 4.5],
Range: [0.5, ∞]
Step-by-step explanation:
One approach is a graphical representation to solving the problem, which you can see as the two attachment's below. Clearly the domain would be on the interval [- ∞, 4.5] and the range would be on the interval [0.5, ∞]. There is another approach to this though,
We can determine the domain by finding what value for p makes the function undefined
Given : h(p) = (p + 3) / (2p - 9),
Value for p where denominator = 0 :
2p - 9 = 0,
2p = 9,
p = 9 / 2 = 4.5
And to determine the range we have to determine the set of values that corresponds with the domain. In this case it's p = 0.5.
