What is the domain of f(x)= 1/(2x-8) ?

The domain of f(x)= 1/(2x-8) is x 4

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domain of f(x)= 1/(2x-8)

domain

f (x) = \frac{1}{2 x - 8}

x < 4 or x > 4

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

f (x) = \frac{- 4 x ^{2} - 3 x + 8}{x + 1}

x - 1, x < 0

f (x) = 3 x^{4} - 4 x^{3}

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

f (x) = lo g_{3} (9 x)

What is the domain of f(x)= 1/(2x-8) ?
The domain of f(x)= 1/(2x-8) is x<4\lor x>4