If f (x) = x², find the value of .

Let A = {–1, 0, 1, 2} and B = {2, 3, 4, 5}. Find which of the following are function from A to B. Give reason.

(i) f = {(–1, 2), (-1, 3), (0, 4), 1,5)}

(ii) g = {(0, 2), (1, 3), (2, 4)}

(iii) h = {(-1, 2), (0, 3), (1, 4), (2, 5)}

If , where x ≠ –1 and f{f(x)} = x for x ≠ –1 then find the value of k.

Let , then

Let and g (x) = x be two functions defined in the domain R⁺∪ {0}. Find

(fg) (x)

Express the function f : X → R given by f(x) = x³ + 1 as set of ordered pairs, where X = {–1, 0, 3, 9, 7}.

Let and g (x) = x be two functions defined in the domain R⁺∪ {0}. Find

. Let f:(2, ∞) → R: f(x) = and g: (2, ∞) → R: g(x) = Find:

(i) (f + g) (x)

(ii) (f - g) (x)

(iii) (fg) (x)

. Let f: R → R; f(x)= ,where c is a constant. Find

(i) (cf) (x)

(ii) (c² f) (x)

(iii)

If = for all x ϵ R – {0} then write an expression for f(x).

Find the values of x for which the functions

f (x) = 3x² – 1 and g (x) = 3 + x are equal