Mathematics : Practice Questions and Answers

Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.

If f:N→N, g:N→N and h:N→R is defined as f(x) = 3x-5, g(y) = 6y² and h(z) = tan z, find ho(gof).

The function f:R→R defined by f(x)=5x+9 is invertible.

A function is invertible if it is ____________

If f:R→R is given by f(x) = (5+x⁴)^(1/4), then fοf(x) is _______

If f:R→R, g(x)=3x2+7 and f(x)=√x, then gοf(x) is equal to _______

The composition of functions is both commutative and associative.

Which of the following is not a valid elementary operation?

How many elementary operations are possible on Matrices?

If set A has 2 elements and set B has 3 elements then how many subsets does A X B have?

If A X B = {(a), (b), (c), (a), (b), (c)} then find set B.

If A X B = {(a), (b), (c), (a), (b), (c)} then find set A.

If P = Q then P X Q = Q X P is true or not?

If P X Q has 10 elements then which is not possible?

Is (a, b) = (b, a)?

If (x+y-8, x-y) = (5, -7), then find the values of x and y.

If set P has 4 elements and set Q has 5 elements then find the number of elements in P X Q.

If (a, b) = (x, y) then___________

If P X Q is an empty set then which of the following is a null set?

At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm?