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- 1. Multiple Choice
Given that x ⊙ y = the remainder when xy is divided by 5, then the value of (3⊙2)⊙3 is
4
3
2
1
0
- 2. Multiple Choice
Given that f(x) = x - 2, g(x) = 1/(x - 3), x ≠ 3, then (g ∘ f)(0) =
- 3. Multiple Choice
Given that the operation ⊙ is defined by a ⊙ b = a(2a + b), then (-3)⊙2 =
-12
-3
3
12
24
- 4. Multiple Choice
Function f and g are defined by f(3) = -1 and g(-1) = 5. Then (g ∘ f)-1(5) =
-1
5
3
4
0
- 5. Multiple Choice
Given that a ⊙ b means "add 4 to a and multiply the result by b", then the value of (2⊙1)⊙3 is
55
50
45
40
30
- 6. Multiple Choice
A function f: R→R is given by f(x) = 42-x. Which element of the domain has 64 as its image?
2
3
-2
1
-1
- 7. Multiple Choice
A function f: R→R is given by f(x) = 7 - kx and f-1(5) = 1. Then k =
-1
2
1
-2
4
- 8. Multiple Choice
If f(x) = 3x - 1 and g(x) = 2x2 + 3, then (g ∘ f)(2) =
51
53
55
57
59
- 9. Multiple Choice
An operation ⊙ is defined by x ⊙ y = (3xy)/(x + y), then the value of x for which x ⊙ 2x = 4 is
-3
3
1
-1
2
- 10. Multiple Choice
Let f and g be functions given by and f(x) = 2x and g(x) = x + 3. If (g ∘ f)-1(t) = 1 then t =
3
-3
5
-5
2
- 11. Multiple Choice
An operation ⊙ is defined by x ⊙ y is the remainder when x is divided by y, then (61⊙7) - (5⊙5) =
-4
4
3
5
6
- 12. Multiple Choice
f-1: R→R is such that f-1(x) = 2x + 1, then f(x) =
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