What is the domain of f(x)=(-6)/(4-3x)+5 ?

The domain of f(x)=(-6)/(4-3x)+5 is x 4/3

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domain of f(x)=(-6)/(4-3x)+5

domain

f (x) = \frac{- 6}{4 - 3 x} + 5

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}

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

f (x) = (x - 3)^{2} + 2

f (x) = - 2 x^{3} - 27 x^{2} - 84 x - 3

f (x) = x^{2} - 6 x + 7

f (x) = 6 x + 2

What is the domain of f(x)=(-6)/(4-3x)+5 ?
The domain of f(x)=(-6)/(4-3x)+5 is x< 4/3 \lor x> 4/3