Determine whether f and g are inverse functions by evaluating f(g(x)) and g(f(x)). f(x)=x² + 4, domain [0,∞) g(x)=√√x-4, domain [4,∞) Evaluate f(g(x)). f(g(x)) = (Simplify your answer.)
Determine whether f and g are inverse functions by evaluating f(g(x)) and g(f(x)). f(x)=x² + 4, domain [0,∞) g(x)=√√x-4, domain [4,∞) Evaluate f(g(x)). f(g(x)) = (Simplify your answer.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![**Determine whether \( f \) and \( g \) are inverse functions by evaluating \( f(g(x)) \) and \( g(f(x)) \).**
\[ f(x) = x^2 + 4, \text{ domain } [0, \infty) \]
\[ g(x) = \sqrt{x - 4}, \text{ domain } [4, \infty) \]
---
**Evaluate \( f(g(x)) \):**
\[ f(g(x)) = \_\_\_\_\_ \text{ (Simplify your answer.)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b0dd470-f503-4fc0-bf30-b18faa9b1c06%2F0e6eea33-ef0e-4285-836b-07d8ca02edb8%2F3mexdj_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine whether \( f \) and \( g \) are inverse functions by evaluating \( f(g(x)) \) and \( g(f(x)) \).**
\[ f(x) = x^2 + 4, \text{ domain } [0, \infty) \]
\[ g(x) = \sqrt{x - 4}, \text{ domain } [4, \infty) \]
---
**Evaluate \( f(g(x)) \):**
\[ f(g(x)) = \_\_\_\_\_ \text{ (Simplify your answer.)} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning