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:
175
Step-by-step explanation:
500 times 35/100
simplify
Well you gotta ask the chair politely, "how old are you chair?"
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
Answer:
C. Supplementary angles
Step-by-step explanation:
Given
<AFB = 72
Required
Relationship of <AFB and <AFD
<AFB and <AFD are on a straight line and angle on a straight line is 180
From the presentation of both angles,
<AFB + <AFD = 180
Substitute 72 for <AFB
72 + <AFD = 180
Make <AFB the subject of formula
<AFD = 180 - 72
<AFD = 108
Since both <AFB and <AFD sums to 180, then they are supplementary angles.
Hence, the relationship between both angles is supplementary angles
