What is the domain of f(x)=(-2x+35)/(x^2+7x) ?

The domain of f(x)=(-2x+35)/(x^2+7x) is x 0

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domain of f(x)=(-2x+35)/(x^2+7x)

domain

f (x) = \frac{- 2 x + 35}{x ^{2} + 7 x}

x < - 7 or - 7 < x < 0 or x > 0

Interval Notation

(- \infty, - 7) \cup (- 7, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 7

The function domain

x < - 7 or - 7 < x < 0 or x > 0

\frac{0.9 e ^{x}}{tan ( x )}

f (x) = x^{2} + 7 x + 9

\frac{x + 1}{x ^{2} - x - 6}

\frac{( 3 x ^{3} - x ^{2} - 27 x + 9 )}{x ^{2} + 4 x + 3}

f (x) = 16 - x^{2}

What is the domain of f(x)=(-2x+35)/(x^2+7x) ?
The domain of f(x)=(-2x+35)/(x^2+7x) is x<-7\lor-7<x<0\lor x>0