What is the domain of f(x)=(-4x+6)/(8+3x) ?

The domain of f(x)=(-4x+6)/(8+3x) is x -8/3

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domain of f(x)=(-4x+6)/(8+3x)

domain

x < - \frac{8}{3} or x > - \frac{8}{3}

Interval Notation

(- \infty, - \frac{8}{3}) \cup (- \frac{8}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{8}{3}

The function domain

x < - \frac{8}{3} or x > - \frac{8}{3}

What is the domain of f(x)=(-4x+6)/(8+3x) ?
The domain of f(x)=(-4x+6)/(8+3x) is x<-8/3 \lor x>-8/3