If f(x)=x² + 1 then value of (fof)(x) is equal to
A)x⁴+ 2x²+2
B)x⁴+ 2x²-2
C)x⁴ + x +1
D) none of these
brunoconti:
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Answers
Answered by
1
Answer:
he...mate..
Step-by-step explanation:
your answer will be option number (A).
I hopes its helps u.
Answered by
0
For given expression answer is x⁴ + 2x² + 2. i.e. correct option is A.
fof(x) can be find out by (f(x))² + 1.
Given : f(x) = x² + 1
To Find : fof(x)
Solution :
fof(x) means f(f(x))
replace x by f(x)
f(f(x)) = (f(x))² + 1
= (x² + 1 )² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2
Hence, fof(x) is x⁴ + 2x² + 2. Option (A) is correct.
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