What is the domain of f(x)= 1/(-5x+8) ?

The domain of f(x)= 1/(-5x+8) is x 8/5

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domain of f(x)= 1/(-5x+8)

domain

f (x) = \frac{1}{- 5 x + 8}

x < \frac{8}{5} or x > \frac{8}{5}

Interval Notation

(- \infty, \frac{8}{5}) \cup (\frac{8}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{8}{5}

The function domain

x < \frac{8}{5} or x > \frac{8}{5}

y = \frac{1}{2 x 3 x - 7}

\frac{x - 4}{2}

f (x) = 3 x^{2} + 2 x - 5

\frac{2 x - 3}{1 - x ^{2}}

f (x) = x^{2} + 4 + 1

What is the domain of f(x)= 1/(-5x+8) ?
The domain of f(x)= 1/(-5x+8) is x< 8/5 \lor x> 8/5