What is the domain of f(x)=(2x+3)/(5x+4) ?

The domain of f(x)=(2x+3)/(5x+4) is x -4/5

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domain of f(x)=(2x+3)/(5x+4)

domain

f (x) = \frac{2 x + 3}{5 x + 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{4}{5}

The function domain

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

f (x) = \frac{x + 3}{x ^{2} - 5 x}

\frac{3}{4}

f (x) = ln (3 - 2 x)

f (x) = 6 ln (x)

f (x) = \frac{1}{2 x - 4}

What is the domain of f(x)=(2x+3)/(5x+4) ?
The domain of f(x)=(2x+3)/(5x+4) is x<-4/5 \lor x>-4/5