3. The following is a function: \( f ( x ) = x ^ { 2 } - 3 \)
A) Draw the function \( ( 2 ) \)
B) What is the domain and the range of the function? (2)
C) Find the inverse of the function. (2)
D) Evaluate \( f ^ { - 1 } ( 3 ) \) . (2)
Pregunta
Answer
B)
D)
\(f^{- 1}(3)= \pm \sqrt{6}\)
Related Questions
Q:
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
Q:
9. A board game company models the profit on its latest board game using the quadratic relation
\( P = - 2 x ^ { 2 } + 28 x - 90 , \) where \( x \) is the number of games it produces in hundred thousands and \( P \) is the profit in millions of dollars.
a) What are the break-even points for the company?
b) What is the maximum profit that the company can earn?