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
9514 1404 393
Answer:
32
Step-by-step explanation:
Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.
∠E = 180° -118° -30° = 32°
The value of x is 32.
180 min
Explanation:
3
×
10 min
=
30 min
In 6 hours, Mr. White takes a total of 30 min in breaks.
36 h
=
6 h
×
6
In 36 hours
, there are 6 sets of 6 h
.
Hence we can multiply the number of minutes in breaks taken in
6 h
ours by 6 to obtain the number of minutes in breaks taken in 36 h
ours.
30 min
×
6
=
180 min
My answer is isn't on the choices and I can't show you how I got it. My answer is in the attached files.
You are not giving enough information but in one of the calsses the average of student's height might be greater than the other class beacause one of the two classes needs to have 1 extra person than the other calss