Question

According to a cookbook, the time m in minutes to cook an 8 to 12 pound turkey is given by the function m(x)=20x+20, Where is the weight of the turkey in pounds. What is the domain of m^-1(x) in this situation?

A.[8,12]
B. [180,260]
C. [180,infinity]
D. [0,260]

Please help!!!!

Answer 1

Domain = [8,12]

Explanation:

The function is given by :

m(x)=20x+20

Where x is the weight of the turkey in pounds.

If x = 8 pounds

m(x)=20(8)+20 = 180

If x = 12 pounds,

m(x)=20(12)+20 = 260

We need to find the domain in this situation. Domain is set of input values while range in the result when domain is inserted in the function.

In this case, domain is [8,12]. On the other hand, range is [10,260].