13. 4/5
14.11/25
15.-1 7/20
16. 4/5
17. -1 5/10
18.4 9/20
Answer:
Hi!
First you would start at -4 on the x-axis, then you would move up 3 spaces and put your point there.
The x-axis is the horizontal line, and the y-axis is the vertical line.
I hope this helps you!
• 48 + 72
• 40 + 8 + 72
• 40 + 8 + 70 + 2
Hope this helps! :D
~PutarPotato
.75 or 75% or 6/8.
Hope.it helps
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!