Find the set of values for which the function f(x) = 1 – 3x and g(x) = 2x² – 1 are equal.

Find the set of values for which the function f(x) = x + 3 and g(x) = 3x² – 1 are equal.

Let X = {–1, 0, 2, 5} and f : X → R Z: f(x) = x³ + 1. Then, write f as a set of ordered pairs.

Let A = {–2, –1, 0, 2} and f : A → Z: f(x) = x² – 2x – 3. Find f(A).

Let f : R → R : f(x) = x².

Determine (i) range (f) (ii) {x : f(x) = 4}

Let f : R → R : f(x) = x² + 1. Find f^–1 {10}.

Let f : R⁺ → R : f(x) = log_e x. Find {x : f(x) = –2}.

Let A = {6, 10, 11, 15, 12} and let f : A → N : f(n) is the highest prime factor of n. Find range (f).

Find the range of the function f(x) = sin x.

Find the range of the function f(x) = |x|.

If then find dom (f) and range (f).

Let f = {(1, 6), (2, 5), (4, 3), (5, 2), (8, –1), (10, –3)} and g = {(2, 0), (3, 2), (5, 6), (7, 10), (8, 12), (10, 16)}.

Find (i) dom (f + g) (ii) dom .

If , find the value of .

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

Find the range of the function, .

Find the domain of the function, f(x) = log |x|.

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

Write the domain and the range of the function,.

Write the domain and the range of the function, f(x) = .

Write the domain and the range of the function, f(x) = –|x|.