Given the functions:
![\begin{gathered} f(x)=8x+14 \\ g(x)=5x-8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D8x%2B14%20%5C%5C%20g%28x%29%3D5x-8%20%5Cend%7Bgathered%7D)
1. You need to substitute the function g(x) into the function f(x), in order to find:
![(f\circ g)(x)](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29)
Then:
![(f\circ g)(x)=8(5x-8)+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D8%285x-8%29%2B14)
2. You need to substitute this value of "x into the function:
![x=2](https://tex.z-dn.net/?f=x%3D2)
And then evaluate, in order to find:
![(f\circ g)(2)](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%282%29)
You get:
![(f\circ g)(2)=8(5(2)-8)+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%282%29%3D8%285%282%29-8%29%2B14)
![(f\circ g)(2)=8(10-8)+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%282%29%3D8%2810-8%29%2B14)
![(f\circ g)(2)=8(2)+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%282%29%3D8%282%29%2B14)
![(f\circ g)(2)=16+14](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%282%29%3D16%2B14)
![(f\circ g)(2)=30](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%282%29%3D30)
Hence, the answer is:
There are 400 yards between Ella's house and the mall. A yard has 3 feet
Answer: The correct answer is 22.31 miles to the gallon.
Step-by-step explanation: If she travels 348 miles, and used 15.6 gallons of gas, you would divide 348 by 15.6= 22.307 or 22.31 miles to the gallon.