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

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

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

domain

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

x < \frac{6}{5} or x > \frac{6}{5}

Interval Notation

(- \infty, \frac{6}{5}) \cup (\frac{6}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{6}{5}

The function domain

x < \frac{6}{5} or x > \frac{6}{5}

f (x) = x + 6 - 7

f (x) = 3 x - 3

f (x) = \frac{4}{x + 1}

\frac{x ^{3} - x}{x ^{3} + 2 x ^{2} - 3 x}

y = sin (x - \frac{3 π}{4})

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