Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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![Consider the piecewise-defined function
S Ax
le-1/x
if x < 0
h(x)
+B if x >> 0
(a) Give values for A and B so that h(x) is continuous at x = 0.
(b) Give values for A and B sot that h(x) is differentiable at x = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ff08ef4-006c-4f7c-a4f5-a9f506e08762%2Fec94b274-e191-41c7-b968-9f3e0a24c8bb%2Fyghe9md_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the piecewise-defined function
S Ax
le-1/x
if x < 0
h(x)
+B if x >> 0
(a) Give values for A and B so that h(x) is continuous at x = 0.
(b) Give values for A and B sot that h(x) is differentiable at x = 0.
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