Find f(g(x)) f(x) = square root of x-7 , g(x) = square root of x-5

$f (x) = \sqrt{x - 7}$ , $g (x) = \sqrt{x - 5}$

Set up the composite result function.

$f (g (x))$

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

$f (\sqrt{x - 5}) = \sqrt{(\sqrt{x - 5}) - 7}$

Remove parentheses.

$f (\sqrt{x - 5}) = \sqrt{\sqrt{x - 5} - 7}$

Find f(g(x)) f(x) = square root of x-7 , g(x) = square root of x-5

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