Relations and Functions MCQ Quiz

Last Updated :
Discuss
Comments

Question 1

If f: A → B and g: B → C are functions, what is the composite function g ∘ f?

  • g(f(x)) for all x in A

  • f(g(x)) for all x in B

  • Both A and B

  • Both A and B

Question 2

For the functions f(x)= √x and g(x)=x2, what is (f∘g)(x)?

  • √x2

  • x

  • x2

  • √x4

Question 3

If f(x)=3x−2 and g(x)= 1/x, what is (f∘g)(x)?

  • 3- 2/x

  • 3/x -2

  • 3/x + 2

  • 3 - 2x

Question 4

If f(x) = e^x and g(x) = ln(x), what is (f ∘ g)(x)?

  • e^x

  • x

  • ln(e^x)

  •  e^(ln(x))

Question 5

If h(x)= (x2-1)/(2x-1), what is excluded value of x?

  • -1

  • 1

  • 0

  • 0.5

Question 6

If A={1,2,3} and B={2,3,4}, what is the symmetric difference AΔB?

  • {1,4}

  • {1,2,3,4}

  • {1,2,3}

  • {2,4}

Question 7

If A={1,2,3} and B={3,4,5}, what is the complement of A with respect to B?

  • {4,5}

  • {1,2,3}

  • {1,2,4,5}

  • {1,2,3,4,5}

Question 8

What is the inverse of the function h(x)= 1/(x−2)?

  • h-1(x)=x+2

  • h-1(x) = 1/x + 2

  • h-1(x) = 1/(x-2)

  • h-1(x) = x-2

Question 9

If f(x)= 2/(x+1) and g(x)=x2 - 4, what is (g∘f)(x)?

  • 4/(x2 + 3)

  • 2/(x2 + 3)

  • x2 - 2

  • 2x2 - 7

Question 10

If A={1,2,3} and B={3,4,5}, what is the Cartesian product A×B?

  • {(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,3),(3,4),(3,5)}

  • {(1,3),(2,4),(3,5)}

  • {(1,3),(2,3),(3,3),(1,4),(2,4),(3,4),(1,5),(2,5),(3,5)}

  • {(1,4),(2,5),(3,6)}

There are 25 questions to complete.

Take a part in the ongoing discussion