Question
Are the functions $f g$ and $g f$ identical? Justify your answer.
Step 1
If $f$ and $g$ are two functions, then $f g$ means the function that you get when you multiply $f$ and $g$ together. Similarly, $g f$ means the function that you get when you multiply $g$ and $f$ together. Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 101 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Are the functions $f \circ g$ and $g \circ f$ identical? Justify your answer.
Functions
Operations on Functions; Composition
Is it true that $(f g)(x)$ is the same as $(f \circ g)(x)$ for any functions $f$ and $g ?$ Explain.
More About Functions and Equations
The Algebra of Functions
Are the functions $f(x)=x-1$ and $g(x)=\frac{x^{2}-1}{x+1}$ the same? Explain.
Functions and Their Graphs
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD