What is the domain of-1/(sqrt(-5x+4)) ?

The domain of-1/(sqrt(-5x+4)) is x< 4/5

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domain of-1/(sqrt(-5x+4))

domain

- \frac{1}{- 5 x + 4}

x < \frac{4}{5}

Interval Notation

(- \infty, \frac{4}{5})

Solution steps

Find non-negative values for radicals:

x \leq \frac{4}{5}

Find undefined (singularity) points:

x = \frac{4}{5}

Combine real regions and undefined points for final function domain

x < \frac{4}{5}

f (x) = 16000 + 5 t - 20 t

\frac{1}{t + 2}

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

f (x) = lo g_{10} (\frac{1}{5}) (x^{2} - x - 12)