What is the domain of f(x)=sqrt(8-3x)-(x-4) ?

The domain of f(x)=sqrt(8-3x)-(x-4) is x<= 8/3

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domain of f(x)=sqrt(8-3x)-(x-4)

domain

f (x) = 8 - 3 x - (x - 4)

x \leq \frac{8}{3}

Interval Notation

(- \infty, \frac{8}{3}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{8}{3}

The function domain

x \leq \frac{8}{3}

\frac{\frac{x}{x + 6}}{\frac{x}{x + 6} + 6}

f (x) = - (2 x - 2)^{2} + 3

\frac{x}{x ^{2} - 4}

f (x) = \frac{3}{x ^{2}} - 3 x

f (x) = 4 - \frac{x}{2}

What is the domain of f(x)=sqrt(8-3x)-(x-4) ?
The domain of f(x)=sqrt(8-3x)-(x-4) is x<= 8/3