A company's profit

P

for producing

x

units is given by

P ( x ) = 47 x - 5736

. Find the inverse function

P ^ { - 1 } ( x )

and explain what it represents. Describe the domains of

P ( x )

and

P ^ { - 1 } ( x )

.
A)

P ^ { - 1 } ( x ) = \frac { x + 5736 } { 47 }

P ^ { - 1 } ( x )

represents the number of units that must be sold to obtain the profit of

x

.Domain of

P ( x ) : [ 0,10 )

, Domain of

P ^ { - 1 } ( x ) : [ - 5736 , \infty )

P ^ { - 1 } ( x ) = \frac { x + 5736 } { 47 }

P ^ { - 1 } ( x )

represents the number of units that must be sold to obtain the profit of

x

.Domain of

P ( x ) : [ 0 , \infty )

, Domain of

P ^ { - 1 } ( x ) : [ - 5736,5736 )

P ^ { - 1 } ( x ) = \frac { x + 5736 } { 47 }

P ^ { - 1 } ( x )

represents the number of units that must be sold to obtain the profit of

x

.Domain of

P ( x ) : [ 0 , \infty )

, Domain of

P ^ { - 1 } ( x ) : [ - 5736 , \infty )

P ^ { - 1 } ( x ) = \frac { x + 5736 } { 47 }

P ^ { - 1 } ( x )

represents the number of units that must be sold to obtain the profit of

x

.Domain of

P ( x ) : [ 1 , \infty )

, Domain of

P ^ { - 1 } ( x ) : [ - 5736 , \infty )

P ^ { - 1 } ( x ) = \frac { x + 5736 } { 47 }

P ^ { - 1 } ( x )

represents the number of units that must be sold to obtain the profit of

x

.Domain of

P ( x ) : [ 0 , \infty )

, Domain of

P ^ { - 1 } ( x ) : [ - 5736,47 )

Approximate the Logarithm Below Using the Properties of Logarithms, Given log⁡b2≈0.3562,\log _ { b } 2 \approx 0.3562,logb​2≈0.3562,

Multiple Choice