At the market you purchase some apples and oranges. There were 12 items purchased. You buy twice as many apples as oranges.
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Answer:
The value of a+b is 4.
Step-by-step explanation:
The given function is
It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.
For x≤3,
For x>3,
At x=0,
Using property f(f(x))=x,
.... (1)
At x=1,
Using property f(f(x))=x,
.... (2)
Subtract equation (2) from equation (1).
Divide both sides by 2.
Substitute this value in equation (1).
The value of a is and value of b is
. The value of a+b is
Therefore the value of a+b is 4.