What is the domain of e^{x^3-6x^2-16x}(3x^2-12x-16) ?

The domain of e^{x^3-6x^2-16x}(3x^2-12x-16) is -infinity <x<infinity

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domain of e^{x^3-6x^2-16x}(3x^2-12x-16)

domain

e^{x^{3} - 6 x^{2} - 16 x} (3 x^{2} - 12 x - 16)

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{4 x + 3}{x ^{3} - 2 x}

\frac{2 x + 3}{( 5 x - 1 ) ( x - 2 ) ^{0.5}}

f (x) = \frac{1}{x ^{2} + x - 12}

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

f (x) = \frac{20}{x ^{2} - 4 x - 4}

What is the domain of e^{x^3-6x^2-16x}(3x^2-12x-16) ?
The domain of e^{x^3-6x^2-16x}(3x^2-12x-16) is -infinity <x<infinity