Explain what the student did wrong when combining the given functions. f(x) = 3x - 10 and g(x) = 8x + 7 Find g(f(x)). C Jeff g(f(x)) = = 8(3x - 10) 24x – 80 -
Explain what the student did wrong when combining the given functions. f(x) = 3x - 10 and g(x) = 8x + 7 Find g(f(x)). C Jeff g(f(x)) = = 8(3x - 10) 24x – 80 -
Chapter5: Polynomials And Polynomial Functions
Section5.3: Multiply Polynomials
Problem 280E: For functions f(x)=2x7 and g(x)=2x+7 , find (a) (fg)(x) (b) (fg)(3)
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![Explain what the student did wrong when combining the given functions.
f(x) = 3x 10 and g(x) = 8x + 7
Find g(f(x)).
g(f(x))
Jeff
8(3x - 10)
= 24x – 80
Jeff multiplied the functions instead of finding their composition.
Jeff had an arithmetic mistake when distributing the parentheses.
Jeff reversed the composition and found f(g(x)) instead.
Jeff actually combined the functions correctly.
Jeff did not add 7.
Give the correct answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22926f56-41bb-43d5-b1fa-42be8a3ae12e%2F3f7ea51a-2c5c-482f-87fd-b7c9df90ef5f%2Ft7sunhk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Explain what the student did wrong when combining the given functions.
f(x) = 3x 10 and g(x) = 8x + 7
Find g(f(x)).
g(f(x))
Jeff
8(3x - 10)
= 24x – 80
Jeff multiplied the functions instead of finding their composition.
Jeff had an arithmetic mistake when distributing the parentheses.
Jeff reversed the composition and found f(g(x)) instead.
Jeff actually combined the functions correctly.
Jeff did not add 7.
Give the correct answer.
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