Answer:
61 it is because it is in first
Hello!! Actually I got A x = 2, y = 12.
Whenever you plug them in, 2(2) + 3(12) = 40
-2(2) + 2(12) = 20
It worked for me this way, I hope this is the right answer. Have a great day!
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
![f(x)=\frac{e^7^x+\sqrt{3}}{2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Be%5E7%5Ex%2B%5Csqrt%7B3%7D%7D%7B2%7D)
![y=\frac{e^7^x+\sqrt{3}}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Be%5E7%5Ex%2B%5Csqrt%7B3%7D%7D%7B2%7D)
![x=\frac{e^7^y+\sqrt{3}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Be%5E7%5Ey%2B%5Csqrt%7B3%7D%7D%7B2%7D)
![2x=e^7^y+\sqrt{3}](https://tex.z-dn.net/?f=2x%3De%5E7%5Ey%2B%5Csqrt%7B3%7D)
![e^7^y=2x-\sqrt{3}](https://tex.z-dn.net/?f=e%5E7%5Ey%3D2x-%5Csqrt%7B3%7D)
![7y=ln(2x-\sqrt{3})](https://tex.z-dn.net/?f=7y%3Dln%282x-%5Csqrt%7B3%7D%29)
![y=\frac{ln(2x-\sqrt{3})}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bln%282x-%5Csqrt%7B3%7D%29%7D%7B7%7D)
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
![g(f(x))](https://tex.z-dn.net/?f=g%28f%28x%29%29)
![g(\frac{e^7^x+\sqrt{3}}{2})](https://tex.z-dn.net/?f=g%28%5Cfrac%7Be%5E7%5Ex%2B%5Csqrt%7B3%7D%7D%7B2%7D%29)
![\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%282%28%5Cfrac%7Be%5E7%5Ex%2B%5Csqrt%7B3%7D%7D%7B2%7D%29-%5Csqrt%7B3%7D%7D%7B7%7D)
2s cancel.
![\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%28e%5E7%5Ex%2B%5Csqrt%7B3%7D%29-%5Csqrt%7B3%7D%7D%7B7%7D)
The natural log and e cancel.
![\frac{7x+\sqrt{3}-\sqrt{3}}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B7x%2B%5Csqrt%7B3%7D-%5Csqrt%7B3%7D%7D%7B7%7D)
s cancel.
![\frac{7x}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B7%7D)
7s cancel.
![x](https://tex.z-dn.net/?f=x)
Hope this helps!
Answer: X= 35° and y= 20°
Hopefully, this was helpful
-39, -37, -35, -33, -31, -29. Odd numbers are the same just backwards ;)