Question

The function d(x) = |x 100| can be used to find the number of degrees a container of water at a temperature of x degrees Celsius is away from the boiling point of water. The function f(d)=9/5d+32 can be used to convert degrees Celsius to degrees Fahrenheit. Which shows the composition f(d(x))?

Answer 1

f(d(x))=9/5|x-100|+32

Explanation:

Answer 2

`f(d(x)) = (9)/(5)|x^(100)| + 32`

Explanation:

The function d(x) takes a value of x in degrees centigrade and provides the number of degrees that a container of water at that temperature x is far from the boiling point of water.

The function f(d) takes a value d in degrees centigrade and returns a value d(x) in degrees fahrenheit.

Therefore, by doing f(d(x)) we are introducing the function d(x) within the function f(d).

So the range of d(x) now is the domain of f(d(x))

This means that the function f(d(x)) shows the number of degrees Fahrenheit that a water container at a temperature x in degrees Celsius is far from the boiling point of water.

`f(d(x)) = (9)/(5)|x^(100)| + 32`