If f(x)=x-100000 and g(x)=.03x, which composition f(g(x)) or g(f(x)) would represent your bonus if x>100000?

Question

You are working as a sales representative for a major clothing manufacturer. You are paid an annual salary plus a bonus of 3% of your sales over $100,000. If f(x)=x-100000 and g(x)=.03x, which composition f(g(x)) or g(f(x)) would represent your bonus if x>100000?

Answer 1

f(x) tells you how much over 100000 your sales were, and g(x) tells you how much your bonus is as a function of your eligible sales amount.  So you would first apply f(x) to your total sales to get the sales over 100000m and then apply g(x) to the result. 

 

That means that the answer is g(f(x))