Question: a. Show that (x) = x 3 and g(x) = 3 x are inverses of one another. b. Graph and g over an x-interval

a. Show that ƒ(x) = x³ and g(x) = ³√x are inverses of one another.

b. Graph ƒ and g over an x-interval large enough to show the graphs intersecting at (1, 1) and (-1, -1). Be sure the picture shows the required symmetry about the line y = x.

c. Find the slopes of the tangents to the graphs of ƒ and g at (1, 1) and (-1, -1) (four tangents in all).

d. What lines are tangent to the curves at the origin?

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a To show that x x3 and gx 3x are inverses of one another we need to show that gx x and gx x for all ... View full answer

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