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avatar+31 

 

PLEASE HELP!!! Thanks

 Feb 12, 2019
 #1
avatar+101871 
+1

Need to be careful here

 

f-1 (-3)    means that either

2 - x = - 3

x = 5  but this value isn't in the domain of the first function

or

2x - x^2   = -3   rearrange as

x^2 - 2x - 3 = 0      factor

(x- 3) ( x + 1) = 0

x = 3  or x = -1

Only the first value is in the domain of the second function

So... f-1(-3) =  3

 

Likewise

f-1(0)    means that either

2 - x = 0

x = 2    not in the domain for the first function

or

2x - x^2 = 0    factor

x (2 - x) = 0

x = 0   or    x = 2

Only the second  value is in the domain of the second function

So ...f-1(0) = 2

 

Lastly

f-1(3)   means that 

2 - x = 3

 x = -1

This value is in the domain of the first function

So....f-1 (3) =  -1

 

So

 

f-1(-3)   + f-1(0) + f-1 (3)  =         3 + 2 +  -1   =    4

 

 

cool cool cool

 Feb 12, 2019
 #2
avatar+31 
+1

Thank you so much!!!

 Feb 12, 2019

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