What is the domain of f(x)=((9x-4))/(4x-5) ?

The domain of f(x)=((9x-4))/(4x-5) is x 5/4

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domain of f(x)=((9x-4))/(4x-5)

domain

f (x) = \frac{( 9 x - 4 )}{4 x - 5}

x < \frac{5}{4} or x > \frac{5}{4}

Interval Notation

(- \infty, \frac{5}{4}) \cup (\frac{5}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{4}

The function domain

x < \frac{5}{4} or x > \frac{5}{4}

f (x) = \frac{2}{1 - x}

lo g_{9} (x^{2} - 16)

\frac{2 x + 1}{x ^{2} - 9}

\frac{3 x - 8}{25}

2 (x - 2)

What is the domain of f(x)=((9x-4))/(4x-5) ?
The domain of f(x)=((9x-4))/(4x-5) is x< 5/4 \lor x> 5/4