NDA MATHS QUESTION BANK

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  1. If f(x + 1) = , then
    f(x) is equal to:
    (a) (b)
    (c) (d)

  2. If f(x) = log.^ /, then f. /


is equal to:


(a) f.^ / (b) f( )^ (c) 1 (d)


2f(x)



  1. If f(x)=^ , then f.^ / is equal


to:


(a) x (b)^ (c)^ (d)



  1. f(x)=^ ( ) ( ), p ≠ q.


What is the value of f(p) + f(q)?
(a) f(p - q) (b) f(p + q)


(c) f(p(p + q)) (d) f(q (p – q))



  1. What is the inverse of f(x)=
    ( )^ ⁄^?


(a) , ( )^ -^ ⁄^ (b)
, ( )^ -^ ⁄^ (c) (


)^ ⁄^ (d) , ( )^ -^ ⁄^



  1. f(x)= log.^ /. What is the


value of f(a) + f(b)?


(a) f(a + b) (b) f. / (c)


f. / (d) f(a – b)



  1. If f(x)= ax + b and g(x)= cx + d
    such that fog (x)= gof(x), then
    which one of the following is


correct?
(a) f(a)= g(c) (b) f(b)= g(a) (c)
f(c)= g(d) (d) f(d)= g(b)


  1. If f(x)= ,
    then what is the value of
    (1/x)?
    (a) f(-x) (b) I/f(x) (c) , (
    -^ (d) f(x)

  2. Given f(x)= log 0 (( )) 1 and g(x)


= (^

(^) )
, then what is f[g(x)] equal
to?
(a) –f(x) (b) 3[f(x)] (c)
, ( )-^ (d) -3[f(x)]



  1. What is the equivalent
    definition of the function given by
    f(x)= 2?
    (a) f(x)= | | (b) f(x)= 2x (c) f(x)=
    | | (d) f(x)= 2| |

  2. If f : R  such that f(x)=
    ( )^ , then what is (x) equal
    to?


(a) ( )^ (b) (c) (^) ⁄ x (d)
(1/3)



  1. If A= 0 1 is a 2 × 2 matrix
    and f(x)= is a
    polynomial, then what is f(A)?
    (a) 0 1 (b) 0 1 (c)


0 1 (d) 0 1
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