Sets, Relations and Functions-Functions and Composition (BITSAT Mathematics): Questions 1 - 7 of 13

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Question number: 1

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=(axn)1n , when a>0 and nN , then fοf(x) is equal to –

Choices

Choice (4) Response

a.

an

b.

x

c.

a

d.

xn

Question number: 2

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If (33+5)2n+1=p+f , where p is an integer and f is a proper fraction, then f(p+f) is equal to –

Choices

Choice (4) Response

a.

32n+1

b.

22n+1

c.

5n+1

d.

All of the above

Question number: 3

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)= x2 and g(x)=f(f(x)) , then for x>20,g(x) equals –

Choices

Choice (4) Response

a.

1

b.

1

c.

0

d.

None of the above

Question number: 4

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=log(1+x1x) , then f(2x1+x2) is equal to –

Choices

Choice (4) Response

a.

f(x)

b.

2f(x)

c.

4f(x)

d.

None of the above

Question number: 5

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

The number of bijective function from set A to itself when A contains 106 elements is –

Choices

Choice (4) Response

a.

106!

b.

2106

c.

(106)2

d.

106

Question number: 6

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=|x1| , then –

Choices

Choice (4) Response

a.

f(x) is not derivable at x=1

b.

f(x2)=(f(x))2

c.

f(x+y)=f(x)+f(y)

d.

f(|x|)=|f(x)|

Question number: 7

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x+2y,x2y)=xy , then f(x,y) equal –

Choices

Choice (4) Response

a.

x2+y22

b.

x2y24

c.

x2y22

d.

x2y28

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