Solve the Problem $$f ( x ) = \sqrt { x + 3 }$$

Solve the problem.
- $$f ( x ) = \sqrt { x + 3 }$$
a. Graph $f ( x )$
b. Write an equation for $f ^ { - 1 } ( x )$
c. Write the domain of $f ^ { - 1 }$ in interval notation

A) a.

b. $f ^ { - 1 } ( x ) = x ^ { 2 } - 3 ; x \geq - 3$ ;
c. $[ - 3 , \infty )$

B) a.

b. $f ^ { - 1 } ( x ) = x ^ { 2 } + 3 ; x \geq 0$ ;
c. $[ 0 , \infty )$

C) a.

b. $f ^ { - 1 } ( x ) = x ^ { 2 } + 3 ; x \geq 3$ ;
c. $[ 3 , \infty )$

D) $\mathbf { a }$ .

b. $f ^ { - 1 } ( x ) = x ^ { 2 } - 3 ; x \geq 0$ ;
c. $[ 0 , \infty )$