Answer: 1 solution
Step-by-step explanation:
Answer:
f⁻¹(1/5) = 2
Explanation:
If f(x) = (2x -3)/5
To find inverse of f(x), make x the subject.
![f(x) = \dfrac{2x - 3}{5}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7B2x%20-%203%7D%7B5%7D)
![5 f(x) = 2x - 3](https://tex.z-dn.net/?f=5%20f%28x%29%20%3D%202x%20-%203)
![2x = 5 f(x) + 3](https://tex.z-dn.net/?f=2x%20%3D%205%20f%28x%29%20%2B%203)
![x = \dfrac{5 f(x) + 3}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B5%20f%28x%29%20%2B%203%7D%7B2%7D)
Then,
![f^{-1}(x) = \dfrac{5x+3}{2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cdfrac%7B5x%2B3%7D%7B2%7D)
To find f⁻¹(1/5), simplify insert [x = 1/5 or 0.2]
![f^{-1}(0.2) = \dfrac{5(0.2)+3}{2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%280.2%29%20%3D%20%5Cdfrac%7B5%280.2%29%2B3%7D%7B2%7D)
which yields
![f^{-1}(0.2) = 2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%280.2%29%20%3D%202)
Answer:
x ≈ 36.2
Step-by-step explanation:
Since the legs are congruent then the triangle is isosceles.
The altitude bisects the base and divides the triangle into 2 right triangles.
Using the right triangle on the right with legs 33 and 15
Apply Pythagoras' identity to the right triangle, that is
x² = 33² + 15² = 1089 + 225 = 1314 ( take the square root of both sides )
x =
≈ 36.2 ( to 1 dec. place )
Answer:
A. subtract s: -7, -10, -13
Step-by-step explanation:
A.Requires a medium
A machismo wave is not capable of transmitting it’s energy through its vaccum so it needs a medium.