a. Show that (x) = x 3 and g(x) = 3 x are inverses of one another.
Question:
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 the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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