Choose the One Alternative That Best Completes the Statement or Answers

question 112

Multiple Choice

Choose the one alternative that best completes the statement or answers the question. Graph $f$ as a solid line and $\mathrm { f } ^ { - 1 }$ as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of $f$ and $f ^ { - 1 }$ .
- $$f ( x ) = ( x - 4 ) ^ { 2 } , x \geq 4$$

• A) \(f\) domain \(= ( 4 , \infty )\); range \(= ( 0 , \infty )\) \(f ^ { - 1 }\) domain \(= ( 0 , \infty )\); range \(= ( 4 , \infty )\)
• B) \(f\) domain \(= ( - \infty , \infty )\); range \(= ( 0 , \infty )\) \(f ^ { - 1 }\) domain \(= ( 0 , \infty )\); range \(= ( - \infty , \infty )\)
• C) \(f\) domain \(= ( - \infty , \infty )\); range \(= ( 0 , \infty )\) \(f ^ { - 1 }\) domain \(= ( 0 , \infty )\); range \(= ( - \infty , \infty )\)
• D) Has no inverse \(f\) domain \(= ( - \infty , \infty )\); range \(= ( 0 , \infty )\)