Question

As the manager of a restaurant, you are paid an annual salary plus a bonus of 5% of profits over $100,000. Consider the two functions given by f(x) = x − 100,000 and g(x) = 0.05x. If x is greater than $100,000, which function represents the bonus?

Answer 1

g(f(x))

Explanation:

Answer 2

Given that the manager is paid a salary and 5% bonus for profit that are over $100,000. Then if x is greater than $100,000, the bonus will be given by the equation:
f(x)=(percentage bonus)*(x)
hence plugging the values we obtain:
f(x)=0.05x