Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
9. (a) Show that if a > 0 and a + 1, the function f(x) = a® is a 1-1 function. (b) For a > 0 and a + 1, define f(x) = loga x to be the inverse of a". Show that log, x is a continuous function.

9. (a) Show that if a > 0 and a + 1, the function f(x) = a® is a 1-1 function. (b) For a > 0 and a + 1, define f(x) = loga x to be the inverse of a". Show that log, x is a continuous function.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Answer the following showing your proofs

 

9. (a) Show that if a > 0 and a + 1, the function f(x) = a" is a 1-1 function. (b) For a > 0 and a + 1, define f(x) = log, x to be the inverse of a". Show that log, x is a continuous function.
Transcribed Image Text:9. (a) Show that if a > 0 and a + 1, the function f(x) = a" is a 1-1 function. (b) For a > 0 and a + 1, define f(x) = log, x to be the inverse of a". Show that log, x is a continuous function.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS