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

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

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

domain

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

- \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

s l o p e in t erce pt 3 y = x + 6

in f l ec t i o n f (x) = x^{3} - 6 x^{2} + 2

s l o p e y = 3 + 2 x

in t erce pt s f (x) = 4 (x + 1) (x + 2)^{2}

in v erse f (x) = x^{2} - 7

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