Question

The function defined by ​f(x) = 60x computes the number of minutes in x hours​, and the function defined by ​g(x) = 168 x computes the number of hours in x weeks. What is (f circle g )(x) and what does it​ compute?

Answer 1

The composition function (f ∘ g)(x) computes the number of minutes in x weeks.

Step-by-step explanation:

The composition of functions, denoted as (f ∘ g)(x), is found by substituting the function g into the function f. In this case, (f ∘ g)(x) = f(g(x)).

Substituting g(x) into f(x), we have f(168x) = 60(168x) = 10080x.

So, (f ∘ g)(x) = 10080x.

This function computes the number of minutes in x weeks.

Answer 2

Answer:
`(f \circ g)(x)=10080x` , where x is the number of weeks.

It computes the number of minutes in x weeks.

Step-by-step explanation:

Given : The function defined by
`​f(x) = 60x` computes the number of minutes in x hours​, and the function defined by
`​g(x) = 168x`, computes the number of hours in x weeks.

Then , the composite function is given by :-

`(f \circ g)(x)=f(g(x))\\\\(f \circ g)(x)=f(168x)\\\\(f \circ g)(x)= 60(168x)\\\\(f \circ g)(x)=(60*168)x\\\\(f \circ g)(x)=10080x`

Hence, the required composite function is :

`\(f \circ g)(x)=10080x` , where x is the number of weeks.

Simply, the above composite function computes the number of minutes in x weeks.