Question

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The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for the selling price of those hats is g(f(x)), where g(x) = x + 2. Find the selling price of 10 hats.

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Answer 1

I do not understand how to set up an equation for g(f(x))

Answer 2

g(f(x))... we input the value of the function f(x) where ever u see x in the g(x) function
so g(f(x))=(one half x+1)+2

Answer 3

I am not one of those people to ask the answer so, I wondering if you could give me an example so I can better understand.

Answer 4

would the set up of the problem end up being: (1/2 times 10 + 1) +2 ?

Answer 5

*sigh* help

Answer 6

Here's an example f(x) = 5x+8 and g(x) = 2x+1
g(f(x)) = g(5x+8) = 2(5x+8) +1 = 10x + 16 +1 = 10x + 17
Tell me what you get for your function.

Answer 7

o my im now seeing this

Answer 8

here another example
f(x)=2x+5
g(x)=x-6
then g(f(x))= (2x+5)-6
and we solve this we get 2x-1

Answer 9

so f(x)=1/2(x)+1 and we know x=10 so we can write f(10)= 1/2(10)+1 ==> 5+1==>6
so g(f(x))=(6)+2==>??