What is the domain of f(x)=(-4x+39)/(9x-52) ?

The domain of f(x)=(-4x+39)/(9x-52) is x 52/9

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domain of f(x)=(-4x+39)/(9x-52)

domain

f (x) = \frac{- 4 x + 39}{9 x - 52}

x < \frac{52}{9} or x > \frac{52}{9}

Interval Notation

(- \infty, \frac{52}{9}) \cup (\frac{52}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{52}{9}

The function domain

x < \frac{52}{9} or x > \frac{52}{9}

f (x) = \frac{x ^{2} - 16}{3 x ^{2}}

f (x) = \frac{9 + x}{6 - x}

x^{3} - 5 x^{2} + 13

f (x) = x (x - 1)

x^{4} - 24 x^{2} + 75

What is the domain of f(x)=(-4x+39)/(9x-52) ?
The domain of f(x)=(-4x+39)/(9x-52) is x< 52/9 \lor x> 52/9