Respuesta :

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.

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