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

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 :-

$(f \circ g)(x)=f(g(x))\\\\(f \circ g)(x)=f(168x)\\\\(f \circ g)(x)= 60(168x)\\\\(f \circ g)(x)=(60\times168)x\\\\(f \circ g)(x)=10080x$

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.