Suppose that to pump more money into the economy during a re

Suppose that to pump more money into the economy during a recession, the federal government adopts a new income tax plan that makes income taxes 60% of the 2011 income tax. Let g be the function such that g(x) is the 2011 federal income tax for a single person with taxable income x dollars, and let h be the corresponding function for the new income tax plan. Write a formula for h(x) n terms of g(x).

Solution

x is income in dollars in year 2011

g(x) = income tax in 2011

New income tax = 60% of income tax in 2011 = 0.6*g(x)

h(x) = 0.6*g(x)