What is the domain of f(x)= 1/(2x+5) ?

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

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domain of f(x)= 1/(2x+5)

domain

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

x < - \frac{5}{2} or x > - \frac{5}{2}

Interval Notation

(- \infty, - \frac{5}{2}) \cup (- \frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{2}

The function domain

x < - \frac{5}{2} or x > - \frac{5}{2}

f (x) = 4 + x + 1

f (x) = \frac{( x - 6 ) ( x - 4 )}{x + 4}

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

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

f (x) = lo g_{10} (x - 4) + 2

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