What is the domain of f(x)=(x-8)/(2x+7) ?

The domain of f(x)=(x-8)/(2x+7) is x -7/2

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domain of f(x)=(x-8)/(2x+7)

domain

f (x) = \frac{x - 8}{2 x + 7}

x < - \frac{7}{2} or x > - \frac{7}{2}

Interval Notation

(- \infty, - \frac{7}{2}) \cup (- \frac{7}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{7}{2}

The function domain

x < - \frac{7}{2} or x > - \frac{7}{2}

\frac{5}{3} x - 5

f (x) = 3^{3^{x} + 1} - 1

f (x) = \frac{4 x - 5}{1 + 2 x}

\frac{8 x}{x ^{2} - 64}

\frac{2 x - 1}{9 x + 5}

What is the domain of f(x)=(x-8)/(2x+7) ?
The domain of f(x)=(x-8)/(2x+7) is x<-7/2 \lor x>-7/2