What is the domain of f(x)=((7x+6)/(7x-2))^{3x-1} ?

The domain of f(x)=((7x+6)/(7x-2))^{3x-1} is x 2/7

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domain of f(x)=((7x+6)/(7x-2))^{3x-1}

domain

f (x) = (\frac{7 x + 6}{7 x - 2})^{3 x - 1}

x < - \frac{6}{7} or x > \frac{2}{7}

Interval Notation

(- \infty, - \frac{6}{7}) \cup (\frac{2}{7}, \infty)

Solution steps

Check exponents domain:

x < - \frac{6}{7} or x > \frac{2}{7}

Find undefined (singularity) points:

x = \frac{2}{7}

Combine real regions and undefined points for final function domain

x < - \frac{6}{7} or x > \frac{2}{7}

What is the domain of f(x)=((7x+6)/(7x-2))^{3x-1} ?
The domain of f(x)=((7x+6)/(7x-2))^{3x-1} is x<-6/7 \lor x> 2/7