Question

question 3

given the function $f(x) = \sqrt{x + 2}$:

a. evaluate $f(2)$.
$f(2) = $

b. solve $f(x) = 5$.
$x = $

question help: video written example message instructor

Explanation:

Step1: Substitute $x=2$ into $f(x)$

$f(2) = \sqrt{2+2}$

Step2: Simplify the expression

$f(2) = \sqrt{4} = 2$

Step3: Set $f(x)=5$, substitute function

$\sqrt{x+2} = 5$

Step4: Square both sides to eliminate root

$(\sqrt{x+2})^2 = 5^2$
$x+2 = 25$

Step5: Solve for $x$

$x = 25 - 2 = 23$

Answer:

a. $2$
b. $23$