What is the domain of f(x)=(-4x+13)/(2x-5) ?

The domain of f(x)=(-4x+13)/(2x-5) is x 5/2

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domain of f(x)=(-4x+13)/(2x-5)

domain

f (x) = \frac{- 4 x + 13}{2 x - 5}

x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{2}

The function domain

x < \frac{5}{2} or x > \frac{5}{2}

f (x,) = \frac{( x ^{2} - 4 )}{∣ x - 2 ∣}

ln (- x^{2} + 1)

y = \frac{3}{5 + x}

f (x) = 2 ∣ x ∣ + 3 - x^{2}

x cos (2 x)

What is the domain of f(x)=(-4x+13)/(2x-5) ?
The domain of f(x)=(-4x+13)/(2x-5) is x< 5/2 \lor x> 5/2