**Question:** Functions \( h \) and \( g \) are defined as follows: - \( h(x) = (3x+2)(5+x) \) - \( g(x) = 2+7x \) **Tasks:** (a) Find \( \frac{h}{g}(5) \) (b) Determine the value(s) that are not in the domain of \( \frac{h}{g} \). **Solution:** For part (a), evaluate the expression \( \frac{h}{g} \) at \( x = 5 \). For part (b), identify the values where the denominator of the function \( \frac{h}{g} \) becomes zero, as these are not included in the function's domain.
**Question:** Functions \( h \) and \( g \) are defined as follows: - \( h(x) = (3x+2)(5+x) \) - \( g(x) = 2+7x \) **Tasks:** (a) Find \( \frac{h}{g}(5) \) (b) Determine the value(s) that are not in the domain of \( \frac{h}{g} \). **Solution:** For part (a), evaluate the expression \( \frac{h}{g} \) at \( x = 5 \). For part (b), identify the values where the denominator of the function \( \frac{h}{g} \) becomes zero, as these are not included in the function's domain.
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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
Transcribed Image Text:**Question:**
Functions \( h \) and \( g \) are defined as follows:
- \( h(x) = (3x+2)(5+x) \)
- \( g(x) = 2+7x \)
**Tasks:**
(a) Find \( \frac{h}{g}(5) \)
(b) Determine the value(s) that are not in the domain of \( \frac{h}{g} \).
**Solution:**
For part (a), evaluate the expression \( \frac{h}{g} \) at \( x = 5 \).
For part (b), identify the values where the denominator of the function \( \frac{h}{g} \) becomes zero, as these are not included in the function's domain.
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