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: 0.08 is 10 times as great as 0.008
Step-by-step explanation: 0.008 x 10 = 0.08
Answer:
k=4
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer:
1 over 18
Step-by-step explanation:
The spinner has 3 segments and he spun it 1 time. So, he has a 1 in 3 chance of landing on green.
There are 6 cards so he has a 1 and 6 chance of picking up the yellow card.
Multiply those and you have 1 over 18
Done!