The graph that represents possible functions is shown in the diagram below. Point C shows the point on y-axis where f(x) and g(x) crosses. The result should be interpreted by the level of steepness of each slope
g(x) has a steeper gradient than f(x) and this indicates steeper fee rise for producing the T-shirt. So if Marissa is to choose the better value for her money to produce T-shirt, she should choose the function f(x) providing there are no other factors to consider other than prices.
Notice ther "far arc, near arc" equation below
thus
![\bf \measuredangle C =\cfrac{\textit{far arc}-\textit{near arc}}{2}\implies 56=\cfrac{(78x+2)-x}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cmeasuredangle%20C%20%3D%5Ccfrac%7B%5Ctextit%7Bfar%20arc%7D-%5Ctextit%7Bnear%20arc%7D%7D%7B2%7D%5Cimplies%2056%3D%5Ccfrac%7B%2878x%2B2%29-x%7D%7B2%7D)
solve for "x"
![f(x)=\frac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x-1%29%28x%2B2%29%28x%2B4%29%7D%7B%28x%2B1%29%28x-2%29%28x-4%29%7D)
The denominator of a fraction can't be equal to 0.
![(x+1)(x-2)(x-4) \not= 0 \\ x+1 \not=0 \ \land \ x-2 \not= 0 \ \land \ x-4 \not= 0 \\ x \not= -1 \ \land \ x \not = 2 \ \land \ x \not= 4](https://tex.z-dn.net/?f=%28x%2B1%29%28x-2%29%28x-4%29%20%5Cnot%3D%200%20%5C%5C%0Ax%2B1%20%5Cnot%3D0%20%5C%20%5Cland%20%5C%20x-2%20%5Cnot%3D%200%20%5C%20%5Cland%20%5C%20x-4%20%5Cnot%3D%200%20%5C%5C%0Ax%20%5Cnot%3D%20-1%20%5C%20%5Cland%20%5C%20x%20%5Cnot%20%3D%202%20%5C%20%5Cland%20%5C%20x%20%5Cnot%3D%204)
The function is undefined at x=-1, x=2, x=4, because for these values the denominator of the function would equal 0, and it's impossible to divide by 0.
Edward is correct.
In the 24-hour time format, ('military' time),
1300 is the same time as 1:00 PM .