(a) Find a function f that gives the income tax on an income x in €. Express f as a piecewise defined function.
f(x) = 0.1 * x if 0< x
f(x) = 2000+ 0.5 *(x-20000) if x > 20,000
x= y*10 if 0< y <=2000
x= (y-2000)/0.5+20000 if y >2000
f-1 (x) = 10x if 0< x < =2000
f-1 (x) = 20000+(x-2000)* 2 if x > 2000
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