GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If f(x)=1/x and g(x)=x/x^2+1
[#permalink]
06 Feb 2024, 01:42
06 Feb 2024, 01:42
Expert Reply
1
Bookmarks
00:00
Question Stats:
77% (01:34) correct
22% (02:20) wrong based on 9 sessions
Hide Show timer Statistics
If \(f(x)=\frac{1}{x}\) and \(g(x)=\frac{x}{x^2+1}\) for all \(x>0\) which opf the following statements are correct?
Indicate all that apply
A. \(f(g(2))=\frac{5}{2}\)
B. \(g(f(x))=x\)
C. \(g(f(x))=g(x)\)
Indicate all that apply
A. \(f(g(2))=\frac{5}{2}\)
B. \(g(f(x))=x\)
C. \(g(f(x))=g(x)\)
Part of the project: GRE-Problem Solving Practice Questions Special Edition {PS,MAC, & NE} - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Manager
Joined: 11 Nov 2023
Posts: 228
Given Kudos: 78
WE:Business Development (Advertising and PR)
If f(x)=1/x and g(x)=x/x^2+1
[#permalink]
09 Feb 2024, 13:30
09 Feb 2024, 13:30
1
\(f(g(2)) = f(\frac{2}{2^2+1}) = \frac{5}{2}\)
\(g(f(x)) = f(\frac{1}{x}) = \frac{\frac{1}{x}}{(\frac{1}{x})^2+1}
= \frac{x^2}{x^2} * \frac{\frac{1}{x}}{(\frac{1}{x})^2+1} = \frac{x}{x^2+1} = g(x)\)
\(g(f(x)) = f(\frac{1}{x}) = \frac{\frac{1}{x}}{(\frac{1}{x})^2+1}
= \frac{x^2}{x^2} * \frac{\frac{1}{x}}{(\frac{1}{x})^2+1} = \frac{x}{x^2+1} = g(x)\)
gmatclubot
If f(x)=1/x and g(x)=x/x^2+1 [#permalink]
09 Feb 2024, 13:30
Moderators:
