Let's look at how this example would be different if it was performed in the opposite order. Given f(x) = x +3x- 3 and g(x) = 2x, find g(f(x)). %3D In this case, we'll need to plug the whole function for f(x) into the input (x) spot in the g(x) function. g(f(x)) =(x² + 3x – 3) %3D Then we'll distribute to each term. g(f(x)) =x?)+ 3x)-3 %3D Simplify to get the final answer. g(f(x)) =x+ %3D х — 6 | Check Previous pago

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
f(g(x)) = 4
x+6 x- 3
Let's look at how this example would be different if it was performed in the opposite order.
Given f(x) = x² + 3x 3 and g(x)
= 2x, find g(f(x)).
In this case, we'll need to plug the whole function for f(x) into the input (x) spot in the
g(x) function.
g(f(x)) =[ (x² + 3x –
- 3)
Then we'll distribute to each term.
g(f(x)) =(x²)+ ](3x)-
03
Simplify to get the final answer.
g(f(x)) =[ ]
x+
|x - 6
Check
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Transcribed Image Text:f(g(x)) = 4 x+6 x- 3 Let's look at how this example would be different if it was performed in the opposite order. Given f(x) = x² + 3x 3 and g(x) = 2x, find g(f(x)). In this case, we'll need to plug the whole function for f(x) into the input (x) spot in the g(x) function. g(f(x)) =[ (x² + 3x – - 3) Then we'll distribute to each term. g(f(x)) =(x²)+ ](3x)- 03 Simplify to get the final answer. g(f(x)) =[ ] x+ |x - 6 Check Previous page Next page Quiz navigation Introduction DEC
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