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If f(x)=ax+b and  with  and  real, what is the value of ?

 Dec 29, 2017

Best Answer 

 #1
avatar+9675 
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f(x) = ax + b

x = a*f^-1(x) + b

f^-1(x) = (1/a) * x - b/a

so you get 1/a = b, -b/a = a

because -b/a = a, b = -a^2

Only solution is a = -1, b = -1.

so a + b = -2.

 Dec 29, 2017
 #1
avatar+9675 
+1
Best Answer

f(x) = ax + b

x = a*f^-1(x) + b

f^-1(x) = (1/a) * x - b/a

so you get 1/a = b, -b/a = a

because -b/a = a, b = -a^2

Only solution is a = -1, b = -1.

so a + b = -2.

MaxWong Dec 29, 2017

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