2. Suppose f and g are both one-to-one functions, and let h be the composition f and g; that is, h = fog. Prove h is a one-to-one function. 3. Let g(x) = | VI+tdt for r > 1. Determine whether g has an inverse function. Note: if an inverse function exists, there is no need to find it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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2. Suppose f and g are both one-to-one functions, and let h be the composition f and g; that is,
h = fog. Prove h is a one-to-one function.
Let g(z) = |
V1+t dt for > 1. Determine whether g has an inverse function. Note: if an
3.
inverse function exists, there is no need to find it.
Transcribed Image Text:2. Suppose f and g are both one-to-one functions, and let h be the composition f and g; that is, h = fog. Prove h is a one-to-one function. Let g(z) = | V1+t dt for > 1. Determine whether g has an inverse function. Note: if an 3. inverse function exists, there is no need to find it.
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