Question 13 Suppose f: RR is continuous, and let a, b, E R. For which choices of a,b is the function g(x): =f(ax + b) continuous? O There are only some choices of b for which g is continuous, but all choices of a are acceptable when paired with these choices of b. Og is continuous for all choices of a and b. O There are limitations on the choices of both a and b for which g is continuous. O There are only some choices of a for which g is continuous, but all choices of b are acceptable when paired with these choices of a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 13
Suppose f: RR is continuous, and let a, b, E R.
For which choices of a,b is the function g(x): =f(ax + b) continuous?
O There are only some choices of b for which g is continuous, but all choices of a are acceptable when paired with these choices of b.
Og is continuous for all choices of a and b.
O There are limitations on the choices of both a and b for which g is continuous.
O There are only some choices of a for which g is continuous, but all choices of b are acceptable when paired with these choices of a.
Transcribed Image Text:Question 13 Suppose f: RR is continuous, and let a, b, E R. For which choices of a,b is the function g(x): =f(ax + b) continuous? O There are only some choices of b for which g is continuous, but all choices of a are acceptable when paired with these choices of b. Og is continuous for all choices of a and b. O There are limitations on the choices of both a and b for which g is continuous. O There are only some choices of a for which g is continuous, but all choices of b are acceptable when paired with these choices of a.
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