Let A = {x:3 x = 12}, Is A = 4? If not, explain.

Let A = {1, 2, 3, 4}, B = {1, 2, 3} and C = {2, 4}. Find all sets X satisfying pair of conditions : X sub A, X sub B and X sub C .

Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find fog

Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find gog

Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find gof

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.

Let A = {:[(2,3),(-1,2)] and f(x) =x^2 - 4x + 7 . Show that f(A) = O_(2xx2) . Use this result to find A^5

Let f(x) = 2x^2 and g(x) = 3x - 4, x in R . Find the following : fof (x)

Let f(x) = 2x^2 and g(x) = 3x - 4, x in R . Find the following : gog (x)

Let f(x) = 2x^2 and g(x) = 3x - 4, x in R . Find the following : fog(x)