Question

find domain and range of x-2/3-x​

Answer 1

Step-by-step explanation:

Set the denominator in x−2x+3x-2x+3 equal to 00 to find where the expression is undefined.

x+3=0x+3=0

Subtract 33 from both sides of the equation.

x=−3x=-3

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

Interval Notation:

(−∞,−3)∪(−3,∞)(-∞,-3)∪(-3,∞)

Set-Builder Notation:

{x|x≠−3}{x|x≠-3}

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

Interval Notation:

(−∞,1)∪(1,∞)(-∞,1)∪(1,∞)

Set-Builder Notation:

{y|y≠1}{y|y≠1}

Determine the domain and range.

Domain: (−∞,−3)∪(−3,∞),{x|x≠−3}(-∞,-3)∪(-3,∞),{x|x≠-3}

Range: (−∞,1)∪(1,∞),{y|y≠1}(-∞,1)∪(1,∞),{y|y≠1}