Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)= ex, h(x) = 4x+2 QC. g(x)= In x, h(x) = 4x+2 O D. g(x)=e4x, h(x)=x+2
Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)= ex, h(x) = 4x+2 QC. g(x)= In x, h(x) = 4x+2 O D. g(x)=e4x, h(x)=x+2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Question:**
Find functions \( g \) and \( h \) such that \( f(x) = g(h(x)) \).
Given:
\[ f(x) = e^{4x + 2} \]
**Options:**
- **A.** \( g(x) = 4x + 2, \quad h(x) = e^x \)
- **B.** \( g(x) = e^x, \quad h(x) = 4x + 2 \)
- **C.** \( g(x) = \ln x, \quad h(x) = 4x + 2 \)
- **D.** \( g(x) = e^{4x}, \quad h(x) = x + 2 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3f191a8-a1b2-42ed-ac9e-32d60645d728%2F45bf2329-f413-405a-b960-522385de2db9%2Feit0p7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Find functions \( g \) and \( h \) such that \( f(x) = g(h(x)) \).
Given:
\[ f(x) = e^{4x + 2} \]
**Options:**
- **A.** \( g(x) = 4x + 2, \quad h(x) = e^x \)
- **B.** \( g(x) = e^x, \quad h(x) = 4x + 2 \)
- **C.** \( g(x) = \ln x, \quad h(x) = 4x + 2 \)
- **D.** \( g(x) = e^{4x}, \quad h(x) = x + 2 \)
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