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: r•q = 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 -2+h-p(-2) – h – 2 is defined for any real number h except 0. i only O i only O i only O i, i, and i

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following statement/s is/are true?

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: r •q = 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.
iii.
h
i only
ii only
iii only
i, ii, and iii
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: r •q = 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. iii. h i only ii only iii only i, ii, and iii
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