Composite functions and notation. Let ?f(x)=x? -4?, ?g(x)=x? and ?F(x)=1/(x-3)?. Simplify or evaluate the following expressions. g(f(u))
Step by step solution Step 1 of 1 Consider three different functions f(x)=x -4, g(x)=x and F(x)=1/(x-3). If we want to find the value of function g(x) for x =f(u) we must use the function f(u) in the relation for the function g(x).This is very easy, just follow the next steps: g(x) = x 3 2 Since f(u)=u -4 then we have: 3 g(f(u)) = (f(u)) 2 3 g(f(u)) = (u 4) So the final value of the function g(f(u))is (u 4) . 2 3
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 27E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. 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 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. g(f(u))” is broken down into a number of easy to follow steps, and 17 words. Since the solution to 27E from 1.1 chapter was answered, more than 383 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.