If f:R to R, f(x) = 3x - 2 then (fof)(x) + 2 =
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Answered by
10
Welcome to the concept of functions
f(X) = 3x-2
f(f(X)) or (fof)x= 3f(X) -2
= 3(3x-2) -2
= 9x-8
then ,
f(f(X)) = 9x-8+2 = 9x-6
f(f(x)) = 3(3x-2) = 3f(X)
it is yr answer
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Answered by
8
Answer:
(9x-6)
Step-by-step explanation:
Given that : f:R to R and f(x) = 3x–2
We have to find : (fof)(x)+2
As we know that : (fof)(x) = f(f(x))
Then, (fof)(x) + 2 = f(f(x)) + 2
=> (fof)(x) + 2 = 3f(x) - 2 + 2
=> (fof)(x) + 2 = 3(3x-2)
=> (fof) + 2 = 9x - 6
So, the Value of (fof)(x) + 2 will be 9x-6
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