Refer to the following functions: p(x) = x² + 2x – 15 x +1 q(x) = X- 3 r(x) = v7- x Which of the following statement/s is or are true? i. The composite function ro q 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. i. i only ii only iii only O i, ii, and i

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
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Refer to the following functions:
p(x) = x² + 2x – 15
x +1
q(x):
X- 3
r(x) = v7- x
Which of the following statement/s is or are true?
i. The composite function r•q 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.
i.
i only
ii only
iii only
O i, ii, and ii
Transcribed Image Text:Refer to the following functions: p(x) = x² + 2x – 15 x +1 q(x): X- 3 r(x) = v7- x Which of the following statement/s is or are true? i. The composite function r•q 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. i. i only ii only iii only O i, ii, and ii
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