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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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How can I solve both problems?

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 khx as follows.

khx=32-7x+1=6-21x+1=7-21x

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