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:
Amount of milk in each milkshake = 7 2/3 gallons
Step-by-step explanation:
Gallons of milk = 23 (given)
Number of Milkshakes = 3
Because the gallons of milk were shared equally,
Amount of milk in each milkshake = 23/3 = 7 2/3 gallons of milk
The house is worth $177,000
the lot is worth $35,400
It would be A. 23/30 if it was not simplified but if you need it to be simplified it would be C. 1 3/20
Your welcome