For the given functions f and g, find the indicated composition. f(x) = -3x+9, g(x) = 4x+9; (gof)(x) OA. -12x+45 OB. 12x+45 O C. -12x+36 OD. -12x-27

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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For the given functions f and g, find the indicated composition.
f(x)=-3x+9, g(x) = 4x+9; (gof)(x)
OA. -12x+45
OB. 12x+45
O C. -12x+36
OD. -12x-27
Transcribed Image Text:For the given functions f and g, find the indicated composition. f(x)=-3x+9, g(x) = 4x+9; (gof)(x) OA. -12x+45 OB. 12x+45 O C. -12x+36 OD. -12x-27
Expert Solution
Step 1: Given Information

The functions are given by

f open parentheses x close parentheses space equals space minus 3 x plus 9
g open parentheses x close parentheses space equals space 4 x plus 9

To determine: The expression of open parentheses g ring operator f close parentheses open parentheses x close parentheses

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