The function f(x)=60x computes the number of minutes in x hours. The function g(x)=24x computes the number of hours in x days. What is $( f \circ g ) ( \mathrm { x } )$ and what does it compute? A) $( f \circ g ) ( x )$ =84x ; It computes the number of minutes plus the number of days in x days. B) $( f \circ g ) ( x )$ =1440x ; It computes the number of minutes in x days. C) $( f \circ g ) ( x )$ =1440x ; It computes the number of days in x minutes. D) $( f \circ g ) ( x )$=1440x² ; It computes the number of minutes in x days.

Question

Quizplus · Accepted Answer

The composition $( f \circ g ) ( x )$ means applying g(x) first and then f to the result. Since g(x) = 24x computes hours in x days, and f(x) = 60x computes minutes in x hours, applying f to g(x) gives $f(g(x)) = f(24x) = 60(24x) = 1440x$, which computes the number of minutes in x days.

The Function F(x)=60x Computes the Number of Minutes in (f∘g)(x)( f \circ g ) ( \mathrm { x } )(f∘g)(x)

The Function F(x)=60x Computes the Number of Minutes in $( f \circ g ) ( \mathrm { x } )$