UGC NET CS 2004 Dec-Paper-2
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Question 2
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If f(x) = x+1 and g(x)=x+3 then f0 f0 f0 f is :
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g
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g+1
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g 4
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None of the above
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Question 2 Explanation:
Given data,
f(x)=x+1
g(x)=x+3
Constraint is f0 f0 f0 f
Step-1: We can write into fo fo fo f is f(f(f(x+1)))
We can write into f(f(x+2)) and f(x+3).
Step-2: Above constraint is equal to “x+4” because f(x+3)+1
Step-3: We can also write into fog(x)=x+4 and gof(x)=x+4.
So, g+1 is appropriate answer.
f(x)=x+1
g(x)=x+3
Constraint is f0 f0 f0 f
Step-1: We can write into fo fo fo f is f(f(f(x+1)))
We can write into f(f(x+2)) and f(x+3).
Step-2: Above constraint is equal to “x+4” because f(x+3)+1
Step-3: We can also write into fog(x)=x+4 and gof(x)=x+4.
So, g+1 is appropriate answer.
Correct Answer: B
Question 2 Explanation:
Given data,
f(x)=x+1
g(x)=x+3
Constraint is f0 f0 f0 f
Step-1: We can write into fo fo fo f is f(f(f(x+1)))
We can write into f(f(x+2)) and f(x+3).
Step-2: Above constraint is equal to “x+4” because f(x+3)+1
Step-3: We can also write into fog(x)=x+4 and gof(x)=x+4.
So, g+1 is appropriate answer.
f(x)=x+1
g(x)=x+3
Constraint is f0 f0 f0 f
Step-1: We can write into fo fo fo f is f(f(f(x+1)))
We can write into f(f(x+2)) and f(x+3).
Step-2: Above constraint is equal to “x+4” because f(x+3)+1
Step-3: We can also write into fog(x)=x+4 and gof(x)=x+4.
So, g+1 is appropriate answer.
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