Question: a. Show that h(x) = x 3 /4 and k(x) = (4x) 1/3 are inverses of one another. b. Graph h and k over an

a. Show that h(x) = x³/4 and k(x) = (4x)^1/3 are inverses of one another.

b. Graph h and k over an x-interval large enough to show the graphs intersecting at (2, 2) and (-2, -2). Be sure the picture shows the required symmetry about the line y = x.

c. Find the slopes of the tangents to the graphs at h and k at (2, 2) and (-2, -2).

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

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a To show that hx x34 and kx 4x13 are inverses of one another we need to show that hkx x and khx x f... View full answer

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