What is the domain of (5-7x)/(2x+3) ?

The domain of (5-7x)/(2x+3) is x -3/2

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domain of (5-7x)/(2x+3)

domain

\frac{5 - 7 x}{2 x + 3}

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}

g (x) = lo g_{4} (x + 2)

81 - x^{2}

\frac{1}{3} lo g_{10} (2 x)

\frac{1}{9 - x ^{2}}

f (x) = 15 x

What is the domain of (5-7x)/(2x+3) ?
The domain of (5-7x)/(2x+3) is x<-3/2 \lor x>-3/2