A) Let f(x)=x^2 and g(x)= 1/x. Compute f[g(x)] and g[f(x)], and note that the results are indentical. then say why f and g do not qualify as a pair of inverse functions.
B) Graph bothy=x and g(x)= cubed root (2-x^3) on the same set of axes. After what kind of symmetry do you observe? What does this tell you about the inverse of g? Then find the inverse for g by solving for y. Now what do you observe?