Question

Given that f (x) = StartFraction 2 Over x squared EndFraction and g (x) = StartFraction 13 Over x squared EndFraction What is the domain of the functions f and g? a. only positive integers c. only negative integers b. All non zero real numbers. d. All real numbers including zero

Answer 1

The given functions of f and g, where;$f(x) = \frac{2}{ {x}^{2} }$, $g(x) = \frac{13}{ {x}^{2} }$ gives the domain of the functions as the option;

a. All non zero real numbers

How can the domain of the functions be found?

The given functions are presented as follows;

$f(x) = \frac{2}{ {x}^{2} }$

$g(x) = \frac{13}{ {x}^{2} }$

The given functions have x² as the denominator, therefore;

The domain of the functions are the possible x-values, which gives;

x² = (-x)² = Positive number

At x = 0, we have;

$f(x) = \frac{2}{ {0}^{2} } = \infty$

$g(x) = \frac{13}{ {0}^{2} } = \infty$

The domain is therefore;

a. All non zero real numbers

Learn more about the domain and range of a function here:

brainly.com/question/2264373

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