Find the Domain of the Composition g(f(x)) f(x)=x+2 , g(x)=2x^2-3x-2

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

Set up the composite result function.

$g (f (x))$

Evaluate $g (x + 2)$ by substituting in the value of $f$ into $g$ .

$g (x + 2) = 2 {(x + 2)}^{2} - 3 (x + 2) - 2$

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Find the Domain of the Composition g(f(x)) f(x)=x+2 , g(x)=2x^2-3x-2

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