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CBSE Questions for Class 11 Commerce Applied Mathematics Functions Quiz 5 - MCQExams.com

If p(x)=xx2 and q(x)=9x, find the value of (pq)(5)
  • 0
  • 87
  • 2
  • Undefined
Consider the functions f(x)=x and g(x)=7x+b. Find the value of b, if the composite function, y=f(g(x)) passes through (4,6)
  • 8
  • 8
  • 25
  • 26
  • 476
In real number system, find the domain of the function f(x)=x3x3.
  • x3
  • x>3
  • x<3
  • x>3
  • x<3 or x>3
If f(x)= x and g(x)= x2+4, calculate the value of f(g(2)).
  • 0
  • 1.41
  • 1.68
  • 2.45
  • 2.83
If f(x)=2x and f(f(x))=x+1, then the value of x is
  • 13
  • 1
  • 2
  • 3
  • 5
If f(x)=x24, identify its domain.
  • All real numbers
  • All x such that x2
  • All x such that x2
  • All x such that 2x2
  • All x such that x2 or x2
Which of the following is the domain of the function f(x)=3xx29?
  • 3>x>3
  • xx3
  • 3x<3
  • x<3 or x>3
  • x3 or x3
If f(x)= x2 and g(x)=2x, calculate the value of f(g(3))g(f(3)).
  • 54
  • 18
  • 0
  • -18
  • -54
Find g(x), if f(x)=7x+12 and f(g(x)=21x2+40
  • 21x2+28
  • 21x2
  • 7x2+4
  • 3x2+28
  • 3x2+4
If {(7,11),(5,a)} represents a constant function, then the value of 'a' is :
  • 7
  • 11
  • 5
  • 9
Given a function f(x)=12x4 and the composite function f(g(x))=g(f(x)), determine which among the following can be g(x):
I. 2x14
II. 2x+8
III. 12x4
  • I only
  • II only
  • III only
  • II and III only
  • I, II, and III
Find the values of x for which 1x+1 is undefined
  • 1 only
  • 1 only
  • All real numbers greater than 1
  • All real numbers less than 1
  • All real numbers less than or equal to 1
Find the value of  g(f(2)), if f(x)=ex and g(x)=x2
  • 2.7
  • 3.7
  • 4.2
  • 5.4
  • 6.1
If f(x)=4x3 and g(x)=x4, determine which of the following composite function has a value of 11.
  • f(g(2))
  • g(f(2))
  • g(f(3))
  • f(g(3))
  • f(g(4))
If f(x)=x210 and g(x)=4x+3, calculate the value of f(g(2)).
  • 24
  • 21
  • 12
  • 27
  • 111
Find the domain of the function f(x)=x2+3.
  • 1.73x1.73
  • 1.32x1.32
  • x>1.32
  • x>1.73
  • All real numbers
The above figure shows the graph of the function f(x), the value of f(f(3)) is:
493615.jpg
  • 4
  • 2
  • 0
  • 1
  • 3
2 does not lie in the domain of which of the following function?
  • f(x)=x22xx22x3
  • f(x)=x22xx22x2
  • f(x)=2x2x32x2
  • f(x)=x22xx2x
  • f(x)=4x2x2+2x
If f(x)=3x5 and g(x)=x2+1,f[g(x)]=
  • 3x25
  • 3x2+6
  • x25
  • 3x22
  • 3x2+5x2
If k is a positive constant different from 1, which of the following could be the graph of yx=k(x+y) in the xy-plane?
If g(x)=5x32x2116, what is the sum of all the real numbers that are not in the domain of g(x)?
  • 2
  • 0.5
  • 2
  • 5.5
  • 6.5
The Set A has 4 elements and the Set B has 5 elements then the number of injective mappings that can be defined from A to B is
  • 144
  • 72
  • 60
  • 120
Let f:RR be defined by f(x)=2x+6 which is a bijective mapping then f1(x) is given by
  • x23
  • 2x+6
  • x3
  • 6x+2
If f(x)=x+1x1 and g(x)=2x1,f[g(x)]=
  • x1x
  • xx+1
  • x+1x
  • xx1
  • 2x12x+1
The domain of g(x)=34x2 is:
  • [2,2]
  • (2,2)
  • (0,2)
  • (,2)
  • (,2)
Let f : NN defined by f(n)={n+12if nis oddn2ifnis even
then f is.
  • Many-one and onto
  • One-one and not onto
  • Onto but not one-one
  • Neither one-one nor onto
The number of onto functions from the set {1,2,..........,11} to set {1,2,.....,10} is
  • 5×|11_
  • |10_
  • |11_2
  • 10×|11_
If f:RR is defined by f(x)=xx2+1, find f(f(2))
  • 129
  • 1029
  • 2910
  • 29
The domain of the function f(x)=cosx is.
  • [0,π2]
  • [0,π2][3π2,2π]
  • [3π2,2π]
  • [π2,π2]
Let f(x)=2xsinx and g(x)=3x, then
  • Range of gof is R
  • gof is one-one
  • both f and g are one-one
  • both f and g are onto
For the function f(x)=[1[x]], where [x] denotes the greatest integer less than or equal to x, which of the following statements are true?
  • The domain is (,)
  • The domain is {0}{1}{1}
  • The domain is (,0)[1,)
  • The domain is {0}{1}
If the function f:RR is defined by f(x)=(x2+1)35R, then f is
  • One-one but not onto
  • Onto but not one-one
  • Neither one-one nor onto
  • Both one-one and onto
Let f(x)=2100x+1
g(x)=3100x+1
Then the set of real numbers x such that f(g(x))=x is
  • Empty
  • A singleton
  • A finite se with more than one element
  • Infinite
The number of real linear functions f(x) satisfying f(f(x))=x+f(x) is
  • 0
  • 4
  • 5
  • 2
Let f:RR be defined by f(x)=1x   x  R, then f is _____
  • One-one
  • Onto
  • Bijective
  • f is not defined
Consider the function f(x)=x1x+1What is f(f(x)) equal to?
  • x
  • x
  • 1x
  • None of the above
Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f:ZN given by f(x) = |x| is :
  • One-one but not onto
  • Onto but not one-one
  • Both one-one and onto
  • Neither one-one nor onto
The curve a2y2=x2(a2x2) is defined for
  • xa and xa
  • x<a and x>a
  • xa and xa
  • xa and x>a
If f(x)=loge(1+x1x),g(x)=3x+x31+3x2 and gof(t)=g(f(t)), then what is gof(e1e+1) equal to?
  • 2
  • 1
  • 0
  • 12
If g(x)=1f(x) and f(x)=x,x0, then which one of the following is correct?
  • f(f(f(g(g(f(x))))))=g(g(f(g(f(x)))))
  • f(g(f(g(g(f(g(x)))))))=g(g(f(g(f(x)))))
  • f(g(f(g(g(f(g(x)))))))=f(g(f(g(f(x)))))
  • f(f(f(g(g(f(x))))))=f(f(f(g(f(x)))))
The domain of the function f(x)=1log10(1x)+x+2 is
  • [3,2.5][2.5,2]
  • [2,0)(0,1)
  • [0,1]
  • None of the above
Let f(x)=x+1x1 for all x1
Let
f1(x)=f(x),f2(x)=f(f(x)) and generally
fn(x)=f(fn1(x)) for n>1
Let P=f1(2)f2(3)f3(4)f4(5)
Which of the following is a multiple of P ?
  • 125
  • 375
  • 250
  • 147
Number of values of x[0,π] where f(x)=[4sinx7] is non-derivable is
[Note: [k] denotes the greatest integer less than or equal to k.]
  • 7
  • 8
  • 9
  • 10
Let M be the set of all 2×2 matrices with entries from the set of real numbers R. Then the function f:MR defined by f(A)=|A| for every AM, is
  • One-one and onto
  • Neither one-one nor onto
  • One-one but not onto
  • Onto but not one-one
Consider the following statements :
Statement 1 : The function f:RR such that f(x)=x3 for all xR is one-one.
Statement 2 : f(a)=f(b)a=b for all a,bR if the function f is one-one.
Which one of the following is correct in respect of the above statements?
  • Both the statements are true and Statement 2 is the correct explanation of Statement 1.
  • Both the statements are true and Statement 2 is not the correct explanation of Statement 1.
  • Statement 1 is true but Statement 2 is false.
  • Statement 1 is true but Statement 2 is true.
If f(x)=8x3,g(x)=x1/3, then fog (x) is
  • 83x
  • (8x)1/3
  • 8x3
  • 8x
The mid-point of the domain of the function f(x)=42x+5 for real x is
  • 14
  • 32
  • 23
  • 25
The domain of the function
f(x)=sin1{log2(12x2)} is
  • [2,1][1,2]
  • (2,1][1,2]
  • [2,1][1,2]
  • (2,1)(1,2)
Let f(x)=2xx2 and g(x) = cos x. Which of the following statements are true?
(I) Domain of f((g(x))2)= Domain of f(g(x))
(II) Domain of f(g(x)) + g(f(x)) = Domain of g(f(x))
(III) Domain of f(g(x)) = Domain of g(f(x))
(IV) Domain of g((f(x))3)= Domain of f(g(x))
  • Only (I)
  • Only (I) and (II)
  • Only (III) and (IV)
  • Only (I) and (IV)
If f:RR,g:RR be two functions given by f(x)=2x3 and g(x)=x3+5, then (fog)1(x) is equal to
  • (x+72)13
  • (x72)13
  • (x72)13
  • (x+72)13
0:0:1


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers