Algebra Examples

$f (x) = \sqrt{x}$ , $f (x) = \sqrt{x}$

Step 1

Set up the composite result function.

$f (f (f (f (x))))$

Step 2

Evaluate $f (\sqrt{x})$ by substituting in the value of $f$ into $f$ .

$f (\sqrt{x}) = \sqrt{\sqrt{x}}$

Step 3

Remove parentheses.

$f (\sqrt{x}) = \sqrt{\sqrt{x}}$

Step 4

Rewrite $\sqrt{\sqrt{x}}$ as $\sqrt[4]{x}$ .

$f (\sqrt{x}) = \sqrt[4]{x}$