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

question 144

Multiple Choice

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. \([ 0 , \infty )\)

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