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Discuss the continuity of the composite function h (x) = f (g(x)).

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Discuss the continuity of the composite function h (x) = f (g(x)).

f(x) = x²

g(x) = x - 1

functions
composite-functions

asked Jan 9, 2015 in CALCULUS by anonymous

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1 Answer

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Step 1:

The functions are and .

The function is continuous for all values of .

The function is continuous for all values of .

The composite function

The composite function .

The composite function is continuous for all values of .

Solution:

The composite function is continuous for all values of .

answered Jan 10, 2015 by Sammi Mentor

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