Mathematics

Beans

1 November, 19:39

F (x) = b^x and g (x) = log_bx are inverse functions. Explain why 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 of g.

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) = log_cx is a vertical stretch or compression of g or of its reflection - g. Read this as "negative g".