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X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x+101 g(f (x)) =x^2+9_ Your answer should be f (g(x)) = x² – 20a + 101, g(f (æ)) = x² – 9 f (g(x)) = (x – 10)² + 1 f (g(x)) = (x² – 20x + 100) + 1 f (9(x)) = a² – 20a + 101 9(f (æ)) = (a² + 1) – 10 9(f (x)) = a? – 9

X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x+101 g(f (x)) =x^2+9_ Your answer should be f (g(x)) = x² – 20a + 101, g(f (æ)) = x² – 9 f (g(x)) = (x – 10)² + 1 f (g(x)) = (x² – 20x + 100) + 1 f (9(x)) = a² – 20a + 101 9(f (æ)) = (a² + 1) – 10 9(f (x)) = a? – 9

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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In this problem where do all of the numbers come from. Specifically the 20x shown in the solution?

X 11. Find f (g(x)) and g(f (x)) for the pair of functions. f (x) = x² + 1 g(x) = x – 10 f (g(x)) =x+101 g(f (x)) =x^2+9 Your answer should be f (g(x)) = x² – 20x + 101, g(f (x)) = x² – 9 f (g(x)) = (x – 10)² + 1 f (g(x)) = (x² – 20x + 100) + 1 f (g(x)) = x² . g(f (x)) = (x² + 1) – 10 g(f (x)) = x² – 9 20x + 101
Transcribed Image Text:X 11. Find f (g(x)) and g(f (x)) for the pair of functions. f (x) = x² + 1 g(x) = x – 10 f (g(x)) =x+101 g(f (x)) =x^2+9 Your answer should be f (g(x)) = x² – 20x + 101, g(f (x)) = x² – 9 f (g(x)) = (x – 10)² + 1 f (g(x)) = (x² – 20x + 100) + 1 f (g(x)) = x² . g(f (x)) = (x² + 1) – 10 g(f (x)) = x² – 9 20x + 101
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