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PROBLEM 4: Consider the functions k(x) = V3x + 1, h(x) = 2 – 7x a) Find (k o h)(x). (k o h)(x): b) Find the domain of (k o h)(x). Express answer using interval notation. Domain of (k o h)(x):

PROBLEM 4: Consider the functions k(x) = V3x + 1, h(x) = 2 – 7x a) Find (k o h)(x). (k o h)(x): b) Find the domain of (k o h)(x). Express answer using interval notation. Domain of (k o h)(x):

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
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PROBLEM 4: Consider the functions k(x) = V3x + 1, h(x) = 2 – 7x a) Find (k o h)(x). (k o h)(x): b) Find the domain of (k o h)(x). Express answer using interval notation. Domain of (k o h)(x):
Transcribed Image Text:PROBLEM 4: Consider the functions k(x) = V3x + 1, h(x) = 2 – 7x a) Find (k o h)(x). (k o h)(x): b) Find the domain of (k o h)(x). Express answer using interval notation. Domain of (k o h)(x):
Expert Solution
Step 1

Consider the given functions kx=3x+1, and hx=2-7x.

(a) Find the composition function k∘hx as follows.

k∘hx=32-7x+1=6-21x+1=7-21x

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