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

The domain of f(x)=(x-2)+sqrt(-2x+5) is x<= 5/2

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

domain

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

x \leq \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{5}{2}

The function domain

x \leq \frac{5}{2}

\frac{10 x + 7}{3 - 8 x}

\frac{( x + 4 )}{( 3 x - 4 )}

f (x) = \frac{x - 2}{x ^{2} - 2 x - 8}

f (x) = \frac{x ^{2} - 7}{x ^{2} + 3 x - 4}

f (x) = \frac{x - 8}{x ^{2} - 49}

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