Find the Domain of the Composition f(g(x)) f(x)=x^2+6x-2 g(x)=x-6

$f (x) = x^{2} + 6 x - 2$ $g (x) = x - 6$

Set up the composite result function.

$f (g (x))$

Evaluate $f (x - 6)$ by substituting in the value of $g$ into $f$ .

$f (x - 6) = {(x - 6)}^{2} + 6 (x - 6) - 2$

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 f(g(x)) f(x)=x^2+6x-2 g(x)=x-6

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