What is the domain of f(x)=(10x+3)/(4-3x) ?

The domain of f(x)=(10x+3)/(4-3x) is x 4/3

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domain of f(x)=(10x+3)/(4-3x)

domain

f (x) = \frac{10 x + 3}{4 - 3 x}

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) = 4 - 9 x^{2}

- cos (t)

lo g_{10} (\frac{1}{3}) x

f (x) = \frac{( 9 + x )}{e ^{c o s (x)}}

f (x) = (lo g_{2} (x))

What is the domain of f(x)=(10x+3)/(4-3x) ?
The domain of f(x)=(10x+3)/(4-3x) is x< 4/3 \lor x> 4/3