Write the domain of the real function f defined by The function f(x) = sqrt(25 - x^2).

⇒ 25-x2 ≥0⇒ -(x+5)(x-5)≥0⇒ (x+5)(x-5)≤0⇒ x≤-5 or 5Domain = [-5,5]

Q40 of 215 Page 3

Write the domain of the real function f defined by

⇒ 25-x² ≥0

⇒ -(x+5)(x-5)≥0

⇒ (x+5)(x-5)≤0

⇒ x≤-5 or 5

Domain = [-5,5]

Let f : R → R be the function defined by f(x) = 4x – 3 for all x ϵ R. Then write f^–1.

Which one the following relations on A = {1, 2, 3} is a function?

f = {(1, 3), (2, 3), (3, 2)}, g = {(1, 2), (1, 3), (3, 1)}.

Let A = {a, b, c, d} and f : A → A be given by f = {(a, b), (b, d), (c, a), (d, c)}, write f^–1.

Let f, g : R → R be defined by f(x) = 2x + 1 and g(x) = x² – 2 for all x ϵ R, respectively. Then, find gof.