Answer:
![f^{-1}=+-\sqrt{x+1}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%3D%2B-%5Csqrt%7Bx%2B1%7D)
Step-by-step explanation:
f(x) = x^2 -1
We need to find f^-1(x)
WE find inverse of f(x)
Replace f(x) with y
![y= x^2 -1](https://tex.z-dn.net/?f=y%3D%20x%5E2%20-1)
Replace x with y and y with x
![x= y^2 -1](https://tex.z-dn.net/?f=x%3D%20y%5E2%20-1)
Solve for y
add 1 on both sides , ![x+1= y^2](https://tex.z-dn.net/?f=x%2B1%3D%20y%5E2)
To remove square , take square root on both sides
![\sqrt{x+1} =\sqrt{y^2}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B1%7D%20%3D%5Csqrt%7By%5E2%7D)
![\sqrt{x+1} =y](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B1%7D%20%3Dy)
![y=+-\sqrt{x+1}](https://tex.z-dn.net/?f=y%3D%2B-%5Csqrt%7Bx%2B1%7D)
Replace y with f^-1
![f^{-1}=+-\sqrt{x+1}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%3D%2B-%5Csqrt%7Bx%2B1%7D)
Answer:
![\dfrac{4x^2+12x+5}{6x^2-3x}](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%5E2%2B12x%2B5%7D%7B6x%5E2-3x%7D)
Step-by-step explanation:
Invert the denominator and multiply.
![\dfrac{2x+5}{3x}\div\dfrac{2x-1}{2x+1}=\dfrac{2x+5}{3x}\cdot\dfrac{2x+1}{2x-1}\\\\=\dfrac{(2x+5)(2x+1)}{(3x)(2x-1)}=\boxed{\dfrac{4x^2+12x+5}{6x^2-3x}}\qquad\text{matches choice A}](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%2B5%7D%7B3x%7D%5Cdiv%5Cdfrac%7B2x-1%7D%7B2x%2B1%7D%3D%5Cdfrac%7B2x%2B5%7D%7B3x%7D%5Ccdot%5Cdfrac%7B2x%2B1%7D%7B2x-1%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%282x%2B5%29%282x%2B1%29%7D%7B%283x%29%282x-1%29%7D%3D%5Cboxed%7B%5Cdfrac%7B4x%5E2%2B12x%2B5%7D%7B6x%5E2-3x%7D%7D%5Cqquad%5Ctext%7Bmatches%20choice%20A%7D)
Answer:
The answer is C on Edge or "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."
Step-by-step explanation:
Answer: -7x-6
Step-by-step explanation:
Answer:
15.8
Step-by-step explanation:
So top of 15ft + 0.8 ft = 15.8 ft
meaning the strings needs tobe 15.8 ft long