(b) (c) Let A = {0,1,2). Find (4 - {(0,0))) A. Let f: R R and...

 

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(b) (c) Let A = {0,1,2). Find (4 - {(0,0))) A. Let f: R R and g: RR, R is the set of real numbers. Find f g and gof, where f(x) = x - 2 and g(x)= x + 4. State whether these functions are injective, surjective, or bijective. :: [8 marks] Triangular number (T) are defined by the number of dots that occur when arranged in equilateral triangles as shown in Figure Q3(e). Show that T = n(n+1) for every positive integer n. : Figure Q3(e) [8 marks] (b) (c) Let A = {0,1,2). Find (4 - {(0,0))) A. Let f: R R and g: RR, R is the set of real numbers. Find f g and gof, where f(x) = x - 2 and g(x)= x + 4. State whether these functions are injective, surjective, or bijective. :: [8 marks] Triangular number (T) are defined by the number of dots that occur when arranged in equilateral triangles as shown in Figure Q3(e). Show that T = n(n+1) for every positive integer n. : Figure Q3(e) [8 marks]

Answer rating: 100% (QA)

a To find A 00 x A we first need to determine the matrix A A 0 1 2 To compute A we multiply A by itself A A A 0 1 2 0 1 2 00 11 22 01 10 21 02 11 20 0 1 4 0 0 2 0 1 0 5 2 1 Next we have 0 0 which repr... View the full answer