What is the domain of f(x)=(5x)/(7x-1) ?

The domain of f(x)=(5x)/(7x-1) is x 1/7

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domain of f(x)=(5x)/(7x-1)

domain

f (x) = \frac{5 x}{7 x - 1}

x < \frac{1}{7} or x > \frac{1}{7}

Interval Notation

(- \infty, \frac{1}{7}) \cup (\frac{1}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{7}

The function domain

x < \frac{1}{7} or x > \frac{1}{7}

f (x) = lo g_{l o g_{10} (x)} (x)

f (x) = 5^{- x}

f (x) = lo g_{10} (9 - x^{2})

+ \frac{4}{4 + x}

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

What is the domain of f(x)=(5x)/(7x-1) ?
The domain of f(x)=(5x)/(7x-1) is x< 1/7 \lor x> 1/7