Relations and Functions MCQ Quiz (original) (raw)

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

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

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

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

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

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

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

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

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

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

There are 25 questions to complete.

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