F(x) = bx and g(x) = logb x are inverse functions. Explain why each of the following are true
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Mathematics, 19.05.2020 03:17 KindaSmartPersonn
F(x) = bx and g(x) = logb x are inverse functions. Explain why each of the following are true
1. A translation of function f is f1(x) = b(x – h). It is equivalent to a vertical stretch or vertical compression of function f.
2. The inverse of f1(x) = b(x – h) is equivalent to a translation ofg.
3. The inverse of f1(x) = b(x – h) is not equivalent to a vertical stretch or vertical compression of g.
4. The function h(x) = logc x is a vertical stretch or compression of g or of its reflection –g. Read this as “negative g”.
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