Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
Answer:
1 5/8 too short
Step-by-step explanation:
The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is
1 5/8 too short
25. You have to do 65x65-(60x60) and the square root it
Answer: It's 76 (sorry, I answered it wrong!)
Step-by-step explanation:
In a rhombus, the diagonals split the angles into two equal parts. If one part of the angle is 38, then the other part is 38. Add up both of them, and you'll get the entirety of angle L, which is 76.