What is the domain of f(x)=(x-8)/(3x-4) ?

The domain of f(x)=(x-8)/(3x-4) is x 4/3

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domain of f(x)=(x-8)/(3x-4)

domain

f (x) = \frac{x - 8}{3 x - 4}

x < \frac{4}{3} or x > \frac{4}{3}

Interval Notation

(- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{3}

The function domain

x < \frac{4}{3} or x > \frac{4}{3}

2 x^{3} + 2 x - 1 - (2 x^{2} - 5 x - 6)

f (x) = - (x + 5)^{2} - 4

y, y < 2 x

(1 - 2 x) - (3 - 2 x - x^{2})

f (x) = 5 x + 5

What is the domain of f(x)=(x-8)/(3x-4) ?
The domain of f(x)=(x-8)/(3x-4) is x< 4/3 \lor x> 4/3