Math Problem Statement

The functions f and g are defined as follows: f(x) = (x - 4) / (x^2 + 8x + 16) g(x) = (x + 3) / (x^2 - 5x - 24) For each function, find the domain. Write each answer as an interval or union of intervals.

Solution

To find the domains of the functions f(x)f(x) and ( g

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Rational Functions
Domain of a Function

Formulas

f(x) = (x - 4) / (x^2 + 8x + 16)
g(x) = (x + 3) / (x^2 - 5x - 24)

Theorems

Domain restrictions for rational functions

Suitable Grade Level

Grades 9-12

Related Recommendation

Finding the Domain of Rational Functions f(x) and g(x)

Find the Domain of Rational Functions f(x) = x / (x^2 + 4) and g(x) = (x + 9) / (x^2 - 81)

Finding Domain of Rational Functions: f(x) = (x + 6) / (x^2 + 2x - 24) and g(x) = x / (x^2 + 9)

Finding the Domain of Rational Functions f(x) = x^2 / (x + 1) and g(x) = (x - 8) / (x^2 - 64)

Domain of Rational Functions f(x) = x/(x^2 + 64) and g(x) = (x - 3)/(x^2 - 9)