The correct answer is x+b/a
f^{-1}(x)=\frac{x+b}{a}
Answer:
2/9, 2/27
Step-by-step explanation:
54, 18, 6, 2, 2/3
Take the second term and divide by the first
18/54 = 1/3
We multiply by 1/3
Check by taking the third term and dividing by the second
6/18 = 1/3
This works
Take the last term and multiply by 1/3
2/3*1/3 = 2/9
2/9*1/3 =2/27
<span>Think of arcsin (-1/3) as an angle, and call it "theta." The the original problem becomes "find sec [ 2 theta ]"
1 1
which is the same as "find ------------------ " or --------------------------------------
cos[2 theta] (cos theta)^2 - (sin theta)^2
Recall that theta = the angle whose sine is -1/3. Thus, sin theta = -1/3 and cos theta = 2sqrt(2) / 3.
So we now have:
1
-------------------------------------------
2 sqrt(2) -1
[------------------- ]^ 2 - [ ------- ]^2
3 3
which boils down to:
1 1
----------------- = ---------------- = 9/7 (answer)
8 1 7/9
------ - --------
9 9
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