What is the domain of f(x)= 5/(x-3)+sqrt(x^2-3x-28) ?

The domain of f(x)= 5/(x-3)+sqrt(x^2-3x-28) is x = 7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)= 5/(x-3)+sqrt(x^2-3x-28)

domain

f (x) = \frac{5}{x - 3} + x^{2} - 3 x - 28

x \leq - 4 or x \geq 7

Interval Notation

(- \infty, - 4] \cup [7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 4 or x \geq 7

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x \leq - 4 or x \geq 7

f (x) = \frac{x}{x ^{2} + 7 x + 12}

- 3 x \cdot lo g_{10} (x + 8)

f (x) = ln ∣ 2 x - 4 ∣

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

f (x) = 14 - 7 x

What is the domain of f(x)= 5/(x-3)+sqrt(x^2-3x-28) ?
The domain of f(x)= 5/(x-3)+sqrt(x^2-3x-28) is x<=-4\lor x>= 7