+0  
 
0
445
1
avatar

Find f^-1 for the function f(x)=3(sqrt x-2) +8

 

Just letting you know the three is like above on top of the square root..

 Sep 16, 2016
 #1
avatar+129840 
0

f(x)=3(sqrt x-2) +8

 

Write this as  

 

y = ∛ [x - 2]  + 8         the idea is to get x by itself.......subtract 8 from both sides

 

y - 8 =  ∛ [x - 2]            cube each side

 

( y - 8)3 =  x - 2           add 2 to both sides

 

(y - 8)3 + 2    = x         "exchange"  x and y

 

(x - 8)3 + 2 =  y           and, for y, write  f-1(x)

 

(x - 8)3 +  2   = f-1(x)

 

 

 

cool cool cool

 Sep 16, 2016

1 Online Users