Properties of inverse functions Let f be a one-to-one function with domain D and range R. 1. The domain of f-¹ is 2. The range of f-¹ is 3. (ƒ¹ of)(x) = _______ for all x in_ 4. (ƒ•ƒ˜¹)(y)= _—______ for all x in_ 5. If (a, b) is on the graph of y = f(x), then the point graph of y = f¹(x). 6. The graph of y = f¹(x) is obtained by about the line 7. To find f-¹(x), you: a. Solve b. Interchange for x. is on the the graph of y = f(x) obtaining a formula y = f-¹(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Properties of inverse functions
Let f be a one-to-one function with domain D and range R.
1. The domain of f-¹ is
2. The range of f-¹ is
3. (ƒ˜¹o ƒ)(x) = ________ for all x in_
4. (ƒoƒ¯¹)(y) = _—_______ for all x in_
5. If (a, b) is on the graph of y = f(x), then the point
graph of y = f¹(x).
6. The graph of y = f(x) is obtained by
about the line
7. To find f-¹(x), you:
a. Solve
b.
Interchange
for x.
is on the
the graph of y = f(x)
obtaining a formula y = f-¹(x).
Transcribed Image Text:Properties of inverse functions Let f be a one-to-one function with domain D and range R. 1. The domain of f-¹ is 2. The range of f-¹ is 3. (ƒ˜¹o ƒ)(x) = ________ for all x in_ 4. (ƒoƒ¯¹)(y) = _—_______ for all x in_ 5. If (a, b) is on the graph of y = f(x), then the point graph of y = f¹(x). 6. The graph of y = f(x) is obtained by about the line 7. To find f-¹(x), you: a. Solve b. Interchange for x. is on the the graph of y = f(x) obtaining a formula y = f-¹(x).
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