What is the domain of f(x)=(4x-5)+(sqrt(3x+2)) ?

The domain of f(x)=(4x-5)+(sqrt(3x+2)) is x>=-2/3

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domain of f(x)=(4x-5)+(sqrt(3x+2))

domain

f (x) = (4 x - 5) + (3 x + 2)

x \geq - \frac{2}{3}

Interval Notation

[- \frac{2}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{2}{3}

The function domain

x \geq - \frac{2}{3}

\frac{4 x - 3}{6 - 3 x}

\frac{x + 5}{x - 2}

f (x) = \frac{x ^{2}}{x ^{2} - 9}

- 2 sin (- 3 x + \frac{π}{2})

f (x) = \frac{6 x + 12}{x + 2}

What is the domain of f(x)=(4x-5)+(sqrt(3x+2)) ?
The domain of f(x)=(4x-5)+(sqrt(3x+2)) is x>=-2/3