The function for the cost of materials to make a shirt is f(x)=56x+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:
the answer is g ( f ( 18 ) ) = 106
Step-by-step explanation:
If f ( x ) =5/ 6 x + 5
and g ( x ) = 5 x + 6
Then g( f ( x ) ) = g( 5/6x + 5 ) = 5 ( 5/ 6 x + 5 ) + 6
simplifying
g ( f ( x ) ) = 25 /6 x + 25 +6 = 25 /6 x + 31
If x = 18
Then g ( f ( 18) ) = 25/6.18+31=25.3+31=75+31=106
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