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(a) Find f  1 , the inverse function of f. Show work.

19 / 01 / 2019 Maths

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2. (16 pts)  Let   3 4 7  xxf            
 (a)  Find f   1 , the inverse function of f.  Show work.         
 (b) What is the domain of f ? What is the domain of the inverse function?        
 (c) What is f (2) ?           f (2) = ______                                   work/explanation optional        
 (d) What is f   1 ( ____ ), where the number in the blank is your answer from part (c)?              work/explanation optional          
3. (8 pts)    (a)       log 1=_______  (fill in the blank)   (b)   Let =log    State the exponential form of the equation.     (c)    Determine the numerical value of log , in simplest form. Work optional.        
4. (10 pts)  Let  f (x) = 5x2 – 3x – 12 and  g(x) = 3x + 2   (a) Find the composite function (  )() and simplify the results. Show work.    
       
 (b) Find (  )(−1) . Show work.       
5. (4 pts)  Convert to a logarithmic equation: 7x = 2401.      (no explanation required) 2. ______    A.    log7=2401   B.   log2401=7   C.   log=2401   D.  log2401=x   6. (4 pts) Which of these graphs represent a one-to-one function? Answer(s): ____________ (no explanation required.)  (There may be more than one graph that qualifies.)  



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