Composition of Polynomial Functions Answers

2x3 + 18x3 + 9x + 18x3 + 12x2 + 6x + 18x3 + 24x2 + 24x + 8

2x3 + 18x3 + 9x + 18x3 + 12x2 + 6x + 18x3 + 24x2 + 24x + 8

782124

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Given f(x) = 5x2 + 2 and g(x) = 2x3 (f º g)(x) is a function of degree . (g º f)(x) is a function of degree .

–4,095–324–255–196

Evaluate the compositions indicated for the given functions.f (x) = –2x3, g(x) = x2 + 3x – 8, h(x) = 5x f (g(h(–1)))

Juliana, an architect, buys a drawing table on sale for 20% off. She also gets a 15% store membership discount on the sale price. Use composition of functions to determine the expression for the final cost of a drawing table. Let x be the initial price of the drawing table.

10x – 3010x – 310x2 – 3010x2 – 30x

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–4,095 –324 –255 –196

h(g(f (–1)))

How much will the architect pay for a drawing table with a $240 original price tag?

x2 – 1x2 – 21x2 – 10x + 25x2 – 10x + 29