Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
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Transcribed Image Text:Question 9
>
Let f(x) = 3x + 6 and g(x) = 5x? + 7x.
After simplifying, (g o f)(x) =
Transcribed Image Text:1
Let f(x)
and g(x) = 3x + 8.
2
Find each of the following:
1
a) f(g(6)):
24
b) f(g(x)) =
Expert Solution
Step 1
Given,
f(x)= 3x+6
g(x)= 5x²+7x
We know that,
(g°f)(x)= g(f(x))
Substituting known values,
= g(3x+6)
= 5(3x+6)²+7(3x+6)
= 45x²+ 180+180x+ 21x+ 42
= 45x²+201x+222 is the required answer.
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