Question

Determine which of the value(s), if any, must be excluded from the domain of the variable in the expression x^2/x^2+25Options:x=3,x=5,x=0,x=-5None

Answer 1

Given:

The expression is,

$\frac{x^2}{x^2+25}$

The domain of the function is values of independent variable for which expression is defined. Since expression is not defined when,

$x^2+25=0$

Sinece there is no real value of x for which denominator of expression,

$x^2+25$

is zero. So domain of the expression is,

$(-\infty,\infty)$

So all values of x is included in the domain of the function. Thus answer is None.