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f(x)=(x+4)^3

f^-1(x)=

 Nov 30, 2014

Best Answer 

 #1
avatar+23254 
+8

To make typing easier, I'm going to replace 'f(x)' with 'y':

Problem:  if  y = (x + 4)³  then find the inverse:

First, exchange the variables 'x' and 'y':  x  =  (y + 4)³

Second:  solve for y:                               x^(1/3)  =  y + 4

                                                               y  =  x^(1/3) - 4

Finally, replace y with f-1(x)   --->        f-1(x)  =  x^(1/3) - 4

 Nov 30, 2014
 #1
avatar+23254 
+8
Best Answer

To make typing easier, I'm going to replace 'f(x)' with 'y':

Problem:  if  y = (x + 4)³  then find the inverse:

First, exchange the variables 'x' and 'y':  x  =  (y + 4)³

Second:  solve for y:                               x^(1/3)  =  y + 4

                                                               y  =  x^(1/3) - 4

Finally, replace y with f-1(x)   --->        f-1(x)  =  x^(1/3) - 4

geno3141 Nov 30, 2014
 #2
avatar
+5

Thanks a bunch! I get it now :)

 Nov 30, 2014

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