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Unformatted text preview: f ± 1 and its domain and range. Applications ex. A small lake is stocked with a certain species of ±sh. The ±sh population is modeled by the function P = 10 1 + 4 e ± : 8 t where P is the number of ±sh in thousands and t is measured in years since the lake was stocked. 1) Find the ±sh population after 3 years. 2) After how many years will the ±sh population reach 5000 ±sh? Practice 1. Find the inverse of f ( x ) = log 3 ( x ± 4) + 2. Find the domain and range of f and its inverse. 2. 5 ± x 2 = 2 3. log( x + 2) + log( x ± 1) = 1 4. 3 log(4 x ) = 12 5. e 2 x ± e x ± 6 = 0 6. Find the intersection of the 2 funcitons y = 2 x and y = 4 3 ± x Answer: 1) f ± 1 ( x ) = 4 + 3 x ± 2 , Domain of f ± 1 = Range of f = ( ±1 ; 1 ); Range of f ± 1 = Domain of f = (4 ; 1 ) 2) x = ± ln 4 ln 5 3) x = 3 only 4) x = 2500 5) x = ln 3 6)(2 ; 4)...
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 Spring '08
 WILLIAMSON
 Calculus, Algebra, Logarithmic Equations

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