What is the domain of f(x)=(3x-5)/(x^2+2x-35) ?

The domain of f(x)=(3x-5)/(x^2+2x-35) is x 5

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domain of f(x)=(3x-5)/(x^2+2x-35)

domain

f (x) = \frac{3 x - 5}{x ^{2} + 2 x - 35}

x < - 7 or - 7 < x < 5 or x > 5

Interval Notation

(- \infty, - 7) \cup (- 7, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 7

The function domain

x < - 7 or - 7 < x < 5 or x > 5

ln (x) + 1

f (x) = \frac{∣ x + 1 ∣ - 3}{1 + ∣ x - 3 ∣}

f (x) = \frac{1}{x + 5} + 8

f (x) = x^{2} + \frac{x}{2} - \frac{3}{2}

What is the domain of f(x)=(3x-5)/(x^2+2x-35) ?
The domain of f(x)=(3x-5)/(x^2+2x-35) is x<-7\lor-7<x<5\lor x>5