For this case we must find the inverse of the following function:
Then, we follow the steps:
We change by y:
We exchange the variables:
We clear the variable "y":
We change y for
Answer:
There is an animal farm where chickens and cows live. All together, there are 84 heads and 210 legs. How many chickens and cows
1 answer:
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If f(X)= 7x +5/3 - x =6x +5/3
y= 6x +5/3
6x= y-5/3
f^-1(y)=x=(y-5/3)/6
So we can write
f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y
The same result can be obtained for f^-1(f(x))=x
If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)
