Show that f and g are inverses of each other by verifying that f(g(x)) = x = g(f(x)).;  

What will be an ideal response?


f(g(x)) = f(x3 - 3) =  =  = x

g(f(x)) = g = 3 - 3 = x + 3 - 3= x

Mathematics

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Mathematics

Find the surface area of the solid.Find the surface area of a right rectangular prism measuring 5 ft × 4 ft × 5 ft.

A. 120 ft2 B. 65 ft2 C. 110 ft2 D. 130 ft2

Mathematics

Solve the problem. Round rates to the nearest tenth of a percent and dollar amounts to the nearest dollar when necessary.A jewelry store purchased 120 fashion watches for $3,600. If the store sold 60 watches at $60, 48 watches at $54, and the rest at $30, find (a) the total markup, (b) the markup percent on selling price, and (c) the equivalent markup percent on cost.

A. $2,952, 45.1%, 82% B. $6,552, 100%, 182% C. $2,952, 82%, 45.1% D. $3,600, 55%, 72%

Mathematics

Find the standard equation of the parabola that satisfies the given conditions. Vertex: (3, -4); directrix: x = 11

A. (y + 4)2 = -32(x - 3) B. x2 = -32(y - 3) C. (x + 4)2 = -32(y - 3) D. (y - 3)2 = -32(x + 4)

Mathematics