Find the Domain of the Composition f(g(x)) f(x)=4x^2 , g(x)=(2x)/4

$f (x) = 4 x^{2}$ , $g (x) = \frac{2 x}{4}$

Set up the composite result function.

$f (g (x))$

Evaluate $f (\frac{2 x}{4})$ by substituting in the value of $g$ into $f$ .

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

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)=4x^2 , g(x)=(2x)/4

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