Composite functions and notation. Let ?f? (x)?=x -4, ?g? (x)=x and ?F(x)=1? /(x-3). Simplify or evaluate the following expressions. F(F(x))
Step by step solution Step 1 of 1 Consider three different functions f(x)=x -4, (x)=x and F(x)= 1/(x-3). If we want to find the value of func tion (x) for =F(x) we must use the function F (x) instead x in the relation for the fun ction F (x).This is very easy, just follow the next steps: F(x) = x3 1 F(F(x)) = F(x)3 1 = 13 x3 Let’s simplify the previous relation: F(F(x)) = 1 x33 1 = x3 3x33) 1 = 13(x3) x3 = 1 1x3+9 1 = 103x x3 = x3 103x x3 So the final valu e of the function F (F(x)) is 103x .
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Composite functions and notation. Let ?f? (x)?=x -4, ?g? (x)=x and ?F(x)=1? /(x-3). Simplify or evaluate the following expressions. F(F(x))” is broken down into a number of easy to follow steps, and 20 words. Since the solution to 29E from 1.1 chapter was answered, more than 300 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Composite, evaluate, expressions, functions, let. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 29E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.