Answer:
The inverse of the function is 
.
Step-by-step explanation:
The function provided is:
Let 
.
Then the value of <em>x</em> is:
For the inverse of the function, 
.
⇒
Compute the value of ![f[f^{-1}(x)]](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D)
as follows:
![f[f^{-1}(x)]=f[\frac{x-5}{3}]](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D%3Df%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D)
![=3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x](https://tex.z-dn.net/?f=%3D3%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D%2B5%5C%5C%5C%5C%3Dx-5%2B5%5C%5C%5C%5C%3Dx)
Hence proved that ![f[f^{-1}(x)]=x](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D%3Dx)
.
Compute the value of ![f^{-1}[f(x)]](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D)
as follows:
![f^{-1}[f(x)]=f^{-1}[3x+5]](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D%3Df%5E%7B-1%7D%5B3x%2B5%5D)
Hence proved that ![f^{-1}[f(x)]=x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D%3Dx)
.
Answer: D
Step-by-step explanation:
Answer:
6x + 13 I very much belive
Answer:
The answer to your question is x = 4
Step-by-step explanation:
2x² - bx - 20 = 0
One root is -2.5
Process
Get the value of the equation when x = -2.5
2(-2.5)² - b(-2.5) - 20 = 0
2(6.25) + 2.5b - 20 = 0
12.5 + 2.5b - 20 = 0
2.5b = 20 - 12.5
2.5b = 7.5
b = 7.5 / 2.5
b = 3
Then
2x² - 3x - 20 = 0
Factor the polynomial
2 x -20 = -40
2x² -8x + 5x - 20 = 0
2x(x - 4) + 5(x - 4) = 0
(x - 4)(2x + 5) = 0
x₁ - 4 = 0 2x₂ + 5 = 0
x₁ = 4 x₂ = -5/2
x₂ = -2.5
