Mark the correct alternative in the following:

If f : R → R and g : R → R are defined by f(x) = 2x + 3 and g(x) = x² + 7, then the values of x such that g(f (x)) = 8 are

Mark the correct alternative in the following:

The function f : R → R is defined by f(x) = cos² x + sin⁴ x. Then, f(R) =

Mark the correct alternative in the following:

Let A = {x ∈R : x ≠ 0, -4 ≤ x ≤ 4} and f : A → R be defined by for x ∈ A. Then A is

Mark the correct alternative in the following:

If f : [-2, 2] → R is defined by then

{x [-2, 2] : x ≤ 0 and f(|x|) = x} =

Mark the correct alternative in the following:

If and then k =