The function f(x) is defined by f(x) = 2x 2 3, {x , x <

The function f(x) is defined by f(x) = 2x² − 3, {x ∈ ℝ, x < 0}.

Determine:

a. f⁻¹(x) clearly stating its domain

b. The values of a for which f(a) = f⁻¹(a).