Domain of functions
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(See attached file for full problem description)
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1. Find the domain of f: f(x) = (x - 1) / (1 - 4x)1/2.
2. If f(x) = x1/2 and g(x) = |x|, find fg, f/g, and their domains.
3. Given g(x) = x2 + 3 and f(x) = (x - 3)1/2, find fog(x), gof(x), and fog(-4).
4. Graph f(x) = | (x+1)2 + 2 |. Use rules of transformation of functions.
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Solution Summary
This shows how to find the domain of functions using composition and transformation of functions. The expert graphs the functions for transformation of functions.
Solution Preview
Please see the attachment.
1. Find the domain of f: f(x) = (x - 1) / (1 - 4x)1/2.
The function must satisfy . Thus the domain is
2. If f(x) ...
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