Unlock the Mathematical Universe: Exploring the Domains of 1/(3x + 2), √(3x + 2), and log(3x + 2)

The domain of the function f(x) = 1 / (3x + 2) is all real numbers except for x = -2/3. This is because the denominator 3x + 2 cannot be zero. Solving for when the denominator is zero gives us 3x + 2 = 0 or x = -2/3. Therefore, the domain excludes this value.
he domain of the function f(x) = √(3x + 2) is all real numbers where 3x + 2 ≥ 0. Solving for x gives x ≥ -2/3. Keywords for SEO: Domain, Function, Real Numbers, Greater Than or Equal To, Square Root, Mathematics, Algebra, Solve, Value, Variable, Equation.
The domain of the function f(x) = log base 5 of (3x + 2) is all real numbers where 3x + 2 is greater than 0. Solving for x gives x > -2/3. Keywords for SEO: Domain, Function, Real Numbers, Greater Than, Logarithm, Base 5, Mathematics, Algebra, Solve, Value, Variable, Equation.