The inverse functions have a property that the composition of two inverse functions always results is x.
From the given options, only the pair given in option B result in the composition equal to x.
![F(x)= \frac{12}{x}-18 \\ \\ G(x)= \frac{12}{x+18} \\ \\ F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\ \\ F(G(x))= \frac{12(x+18)}{12}-18 \\ \\ F(G(x))=x+18-18=x](https://tex.z-dn.net/?f=F%28x%29%3D%20%5Cfrac%7B12%7D%7Bx%7D-18%20%5C%5C%20%20%5C%5C%20%0AG%28x%29%3D%20%5Cfrac%7B12%7D%7Bx%2B18%7D%20%5C%5C%20%20%5C%5C%20%0AF%28G%28x%29%29%3D%20%5Cfrac%7B12%7D%7B%20%5Cfrac%7B12%7D%7Bx%2B18%7D%20%7D-18%20%5C%5C%20%20%5C%5C%20%0AF%28G%28x%29%29%3D%20%5Cfrac%7B12%28x%2B18%29%7D%7B12%7D-18%20%5C%5C%20%20%5C%5C%20%0AF%28G%28x%29%29%3Dx%2B18-18%3Dx%20%20%20%20)
This proves, F(x) and G(x) are inverse of each other.
So the answer to this question is Option B
Answer:
it is -79 + 41 = 9 i tried please give me brainlest
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Hi there! 252 miles per gallon would be 252 miles/8 gallons. The GCF of 252 and 8 is 4 so we are going to divide by 4. 252÷4=63 and 8÷4=2. In this case, we have a fraction of 63/2.