Question

determine f(x - 1) for the following function.
f(x) = \sqrt{x + 9} - 4
answer
f(x - 1) = \boxed{}

Explanation:

Step1: Substitute $x-1$ into $f(x)$

Replace $x$ with $x-1$ in $f(x)=\sqrt{x+9}-4$:
$f(x-1)=\sqrt{(x-1)+9}-4$

Step2: Simplify the radicand

Combine like terms inside the square root:
$\sqrt{(x-1)+9}-4=\sqrt{x+8}-4$

Answer:

$\sqrt{x+8}-4$