Question

The function defined by ​f(x)equals12x computes the number of inches in x feet​, and the function defined by ​g(x)equals3x computes the number of feet in x yards. What is (f circle g )(x )and what does it​ compute?

Answer 1

(f circle g )(x ) = f(g(x)) = 12(3x) = 36x

(f circle g )(x ) computes the number of inches in x yards

Explanation:

Data provided in the question;

f(x) = 12x [here f(x) computes the number of inches in x feet ]

and,

g(x) = 3x [ here g(x) computes the number of feet in x yards ]

now,

(f circle g )(x ) represents f(g(x)) i,e the result of the function g(x) is input for the function f(x)

thus,

(f circle g )(x ) = f(g(x)) = 12(3x) = 36x

This function computes the number of inches where x is in yards

thus,

(f circle g )(x ) computes the number of inches in x yards