What is the domain of f(x)= 1/2 (-4x+20)^2-3 ?

The domain of f(x)= 1/2 (-4x+20)^2-3 is -infinity <x<infinity

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domain of f(x)= 1/2 (-4x+20)^2-3

domain

f (x) = \frac{1}{2} (- 4 x + 20)^{2} - 3

- \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) = (x + 8)^{2} - 3

f (x) = - \frac{4 x ^{2}}{3} + 55 x

9 - x^{3}

(9 - x^{2}) (x + 1)

f (x) = \frac{x ^{2} - 1}{x + 1} - x^{3} - x

What is the domain of f(x)= 1/2 (-4x+20)^2-3 ?
The domain of f(x)= 1/2 (-4x+20)^2-3 is -infinity <x<infinity