The range is the set of possible images, i.e. "y".
So you can discard options "a" and "c".
2 is a possible image, and all the real numbes are.
Then the answer is "d. y | y is a real number"
Answer:
11/3 as a mixed number would be 3 2/3
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
1/2 (8) + 9 = 13
1/2 x (8) equals 4
9 + 4 = 13
Step-by-step explanation:
I hope I got it right and I hope this helps
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