What is the domain of f(x)=(2x-7)/(4x+6) ?

The domain of f(x)=(2x-7)/(4x+6) is x -3/2

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domain of f(x)=(2x-7)/(4x+6)

domain

f (x) = \frac{2 x - 7}{4 x + 6}

x < - \frac{3}{2} or x > - \frac{3}{2}

Interval Notation

(- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{2}

The function domain

x < - \frac{3}{2} or x > - \frac{3}{2}

f (x) = \frac{( 5 x ^{3} - 4 )}{x ^{2} + 2 x - 15}

f (x) = \frac{2}{x - 1} + 3

ln (\frac{x ^{2} + 1 - 1}{x})

f (x) = lo g_{9} (x - 6)

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

What is the domain of f(x)=(2x-7)/(4x+6) ?
The domain of f(x)=(2x-7)/(4x+6) is x<-3/2 \lor x>-3/2