Grade 11, Maths/ Chapter (1) - Functions

Given that x ⊙ y = the remainder when x^y is divided by 5, then the value of (3⊙2)⊙3 is

• 4

• 3

• 2

• 1

• 0

Given that f(x) = x - 2, g(x) = 1/(x - 3), x ≠ 3, then (g ∘ f)(0) =

• $-\frac{1}{3}$

• $-\frac{1}{4}$

• $-\frac{1}{5}$

• $-\frac{1}{6}$

• $-\frac{1}{7}$

Given that the operation ⊙ is defined by a ⊙ b = a(2a + b), then (-3)⊙2 =

• -12

• -3

• 3

• 12

• 24

Function f and g are defined by f(3) = -1 and g(-1) = 5. Then (g ∘ f)^-1(5) =

• -1

• 5

• 3

• 4

• 0

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

A function f: R→R is given by f(x) = 4^2-x. Which element of the domain has 64 as its image?

• 2

• 3

• -2

• 1

• -1

A function f: R→R is given by f(x) = 7 - kx and f^-1(5) = 1. Then k =

• -1

• 2

• 1

• -2

• 4

If f(x) = 3x - 1 and g(x) = 2x² + 3, then (g ∘ f)(2) =

• 51

• 53

• 55

• 57

• 59

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

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