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}

2 arctan (4 x)

arcsin (ln (2 x))

\frac{x ^{2} + x - 30}{x ^{2} - x - 20}

\frac{1}{3} lo g_{10} (3 x)

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

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