Find f(h(x)) f(x) = square root of x-1 and h(x)=x^2+5

$f (x) = \sqrt{x} - 1$ and $h (x) = x^{2} + 5$

Step 1

Set up the composite result function.

$f (h (x))$

Step 2

Evaluate $f (x^{2} + 5)$ by substituting in the value of $h$ into $f$ .

$f (x^{2} + 5) = \sqrt{x^{2} + 5} - 1$

Step 3

Remove parentheses.

$f (x^{2} + 5) = \sqrt{x^{2} + 5} - 1$