The function for the cost of materials to make a shirt is #f(x)=5/6x+5# where xis the number of shirts. The function for the selling price of those shirts is g(f (x)), where #g(x)=5x+6#. How do you find the selling price of 18 shirts?

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Answer 1 · 2016-10-27T04:30:10

THe answer is #g(f(18))=106#

If #f(x)=5/6x+5#

and #g(x)=5x+6#

Then #g(f(x))=g(5/6x+5)=5(5/6x+5)+6#

simplifying

#g(f(x))=25/6x+25+6=25/6x+31#

If #x=18#

Then #g(f(18))=25/6*18+31=25*3+31=75+31=106#