1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let f(x) f(y) = f(xy) for all real x, y. If f(2) = 4, then what is the value of f(1/2)?
1
1/4
2
1/2
3
1
4
4
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow : 

Let f o g(x) =cos2 √x and g o f(x) = |cos x|. 

Which one of the following is f(x)? 
1
cos x
2
cos x2
3
cos2 x
4
cos |x|
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow : 

Let f o g(x) =cos2 √x and g o f(x) = |cos x|. 

Which one of the following is g(x)? 
1
√x
2
|x|
3
x2
4
x|x|
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f(x) = |x|2 - |x2|

What is f(0.999) + f(1.001) equal to
1
-1
2
0
3
1
4
2
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