What is the domain of f(x)= 8/((2x-5)^3) ?

The domain of f(x)= 8/((2x-5)^3) is x 5/2

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domain of f(x)= 8/((2x-5)^3)

domain

f (x) = \frac{8}{( 2 x - 5 ) ^{3}}

x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{2}

The function domain

x < \frac{5}{2} or x > \frac{5}{2}

What is the domain of f(x)= 8/((2x-5)^3) ?
The domain of f(x)= 8/((2x-5)^3) is x< 5/2 \lor x> 5/2