Refer to the following functions: p(x) = x² + 2x 15 1 x+1 q(x) = X 3 r(x)=√7-x Which of the following statement/s is or are true? i. The composite function roq is defined for all x < 7. Note: roq= r[q(x)] ii. The resulting function of the product of p and q is defined for any real number x. iii. The difference quotient P(-2+h)-p(-2) = h - 2 is defined for any real number h except 0. h Oi only Oii only Oiii only Oi, ii, and iii
Refer to the following functions: p(x) = x² + 2x 15 1 x+1 q(x) = X 3 r(x)=√7-x Which of the following statement/s is or are true? i. The composite function roq is defined for all x < 7. Note: roq= r[q(x)] ii. The resulting function of the product of p and q is defined for any real number x. iii. The difference quotient P(-2+h)-p(-2) = h - 2 is defined for any real number h except 0. h Oi only Oii only Oiii only Oi, ii, and iii
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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![Refer to the following functions:
p(x) = x² + 2x - 15
q
(x)
x+1
x-3
r(x) = √7-x
Which of the following statement/s is or are true?
i. The composite function req is defined for all x < 7. Note: rᵒq = r[q(x)]
ii. The resulting function of the product of p and q is defined for any real number x.
The difference quotient P(-2+h)-p(-2) = h - 2 is defined for any real number h except 0.
O i only
ii only
iii only
O
i, ii, and iii
The union of the set of rational numbers and set of irrational numbers is: *](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbf8389d-508f-4eac-b9d8-9902edefcb7c%2F1d130e97-d68e-4a71-a02a-0e95608dea4f%2F8rokwxw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Refer to the following functions:
p(x) = x² + 2x - 15
q
(x)
x+1
x-3
r(x) = √7-x
Which of the following statement/s is or are true?
i. The composite function req is defined for all x < 7. Note: rᵒq = r[q(x)]
ii. The resulting function of the product of p and q is defined for any real number x.
The difference quotient P(-2+h)-p(-2) = h - 2 is defined for any real number h except 0.
O i only
ii only
iii only
O
i, ii, and iii
The union of the set of rational numbers and set of irrational numbers is: *
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