What is the domain of f(x)=(8x+5)/(4x+2) ?

The domain of f(x)=(8x+5)/(4x+2) is x -1/2

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domain of f(x)=(8x+5)/(4x+2)

domain

f (x) = \frac{8 x + 5}{4 x + 2}

x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

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

g (x) = x^{2} - 4 x

f (x) = 6 x^{2} + 500 x + 8000

f (x) = lo g_{2} (\frac{2}{3} x - 4)

f (x) = lo g_{2} (x^{2} - 6 x + 8)

What is the domain of f(x)=(8x+5)/(4x+2) ?
The domain of f(x)=(8x+5)/(4x+2) is x<-1/2 \lor x>-1/2