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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?

Answer 1

Kennedy Adams

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#

streamlining

#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#

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Answer 2

Nathan Axel

Selling price for 18 shirts: ( g(f(18)) = g\left(\frac{5}{6} \times 18 + 5\right) = 5\left(\frac{5}{6} \times 18 + 5\right) + 6 )

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.