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”.