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

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

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

domain

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

\frac{x ( x - 5 ) ^{2}}{4}

\frac{2 x}{x ^{2} - 25}

f (x) = lo g_{2} (- x)

f (x) = x^{2} + y^{2} = 81

f (x) = x^{2} + y^{2} = 64

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