Question

In physics, pressure is the amount of force exerted on a surface per unit area, P=F/A .The pressure, in atmospheres (atms), of a liquid on the circular base of a bucket is represented by the composite function (P ∘ A) (r), where P (A) = 375 / A and A (r) = pi r^2 What is the domain of the composite function?
a. {all real numbers}
b. {r|r≠0}
c. {r|r>0}
d. {r|r<0}

Answer 1

Answer:

{r|r>0}

Step-by-step explanation:

Pressure is the amount of force exerted on a surface per unit area, P=F/A.

The pressure, in atmospheres (atms), of a liquid on the circular base of a bucket is represented by the composite function PoA(r), where P(A) =  375 / A and A (r) = pi r²

We know that the domain is the set of input values.

Pressure, $P=\dfrac{F}{\pi r^2}$

At r = 0, it becomes not defined.

It means that r can be any value that is greater than 0. Hence, the correct option is (c). i.e. {r|r>0}