Table of contents

0. Review of Algebra(0)
1. Equations & Inequalities(0)
2. Graphs of Equations(0)
3. Functions(0)
4. Polynomial Functions(0)
5. Rational Functions(0)
6. Exponential & Logarithmic Functions(0)
7. Systems of Equations & Matrices(0)
8. Conic Sections(0)
9. Sequences, Series, & Induction(0)
10. Combinatorics & Probability(0)

3. Functions

Function Operations

3. Functions

Function Operations: Study with Video Lessons, Practice Problems & Examples

Back to all problems

9PRACTICE PROBLEM

Given the two functions $f$ and $g$ , find $\frac{f}{g}$ and identify the domain.
$f\left(x\right)=\frac{18x}{x-6},g\left(x\right)=\frac{16}{x+10}$

ANSWERS OPTIONS

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x+10\right)}{8\left(x-6\right)}$ , $(- \infty, - 10) \cup (6, \infty)$

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x+10\right)}{8\left(x-6\right)}$ , $\left(-\infty,-10\right)\cup\left(-10,6\right)\cup\left(6,\infty\right)$

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9\left(x+10\right)}{8x\left(x-6\right)}$ , $(- \infty, - 10) \cup (- 10, 6) \cup (6, \infty)$

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x-6\right)}{8\left(x+10\right)}$ , $(- \infty, - 10) \cup (- 10, 6) \cup (6, \infty)$

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