1 answer:
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Answer:
1. 3.14
Step-by-step explanation:
If we have
That just equals
For example, consider function
The inverse of that function is
So
If we compose the function, f(x) into f^-1(x).
We get
That proof of that.
1. Here x=f^-1(3.14)and f(3.14) cancel out so the answer is 3.14
2. We first find f(-7) which is -12,
We then find f(-12)= 5 so the answer here is 5.
9514 1404 393
Answer:
D . . . (best of the erroneous choices)
Step-by-step explanation:
Solving the first equation for x, we get ...
√(y -1) ≥ x
Solving the second equation for x, we get ...
x > 3
Substituting for x, we have ...
√(y -1) > 3
y -1 > 9
y > 10
Ordered pairs that are in the solution set will have coordinates ...
x > 3, y > 10
In interval notation that looks like ...
x ∈ (-∞, 3) and y ∈ (10, ∞)
The closest answer choice is the last one.
_____
You will note that x must be strictly greater than 3, so y cannot be equal to 10. The offered choice is in error on that point.
__
You will also note that y is dependent on x. That is, one cannot pick a value of y greater than 10 independently of the value of x. In that sense, the solution is not "the set of all ordered pairs such that [x and y have independent limits]". Rather, it is the set of all ordered pairs such that √(y -1) ≥ x > 3.
