Question

WILL MARK BRAINLIEST!!!!!!

Answer 1

F(x) = x^2 + 3
g(x) = sqrt(x - 2)

f(g(x)) = x - 2 + 3 = x + 1

Answer 2

Answer:

The correct option is 3.

Step-by-step explanation:

The given functions are

$f(x)=x^2+3$

$g(x)=\sqrt{x-2}$

We need to find the value of f(g(x)).

$f(g(x))=f(\sqrt{x-2})$            $[\because f(x)=x^2+3]$          .... (1)

Substitute $x=\sqrt{x-2}$ in function f(x) to find the value of $f(\sqrt{x-2})$.

$f(\sqrt{x-2})=(\sqrt{x-2})^2+3$

$f(\sqrt{x-2})=x-2+3$

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

Substitute the value of $f(\sqrt{x-2})$ in equation (1).

$f(g(x))=x+1$

Therefore, the correct option is 3.