In a certain country, the tax on incomes less than or equal to €20,000 is 10%.

Algebra
Tutor: None Selected Time limit: 1 Day

For incomes that are more than €20,000, the tax is €2000 plus 50% of the amount over€20,000.

x) = 
     if 0 ≤ x ≤ 20,000
     if x > 20,000

 

(b) Find 

f −1.

 

f −1(x) = 
     if 0 ≤ x ≤ 2000
     if x > 2000
Mar 1st, 2015

f(x) = 0.1 * x                                       for x <= 20,000

f(x) = 2000+ 0.5 *(x-20000)                    for x > 20,000

x= y/10                                                  for y <=2000

x= (y-2000)/0.5+20000                         for y > 2000

-1 (x) = x/10                                    for  x < =2000                      

-1 (x) = 20000+(x-2000)* 2              for x > 2000


Mar 1st, 2015

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