Find the Domain and Range y=4/x+3

$y = \frac{4}{x} + 3$

Set the denominator in $\frac{4}{x}$ equal to $0$ to find where the expression is undefined.

$x = 0$

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(- \infty, 0) \cup (0, \infty)$

Set-Builder Notation:

${x | x \neq 0}$

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$(- \infty, 3) \cup (3, \infty)$

Set-Builder Notation:

${y | y \neq 3}$

Determine the domain and range.

Domain: $(- \infty, 0) \cup (0, \infty), {x | x \neq 0}$

Range: $(- \infty, 3) \cup (3, \infty), {y | y \neq 3}$