Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
The term for this sequence is 2.
It's an easy pattern!..
The second term is two times two.
The third term is two times three and so on..
222222222222-22111111111111111
= - 2.2111 × 10^16
Answer:
Straight 180
Reflex 210
Right 90
Acute 75
Obtuse 135
Step-by-step explanation:
Bring the 13 over to read
13-12y-13=0
then move the 12y over do it becomes
13-13=12y
0=12y
y=0
