Let f(x) = ex ; R+ → R and g(x) = sin–1 x; [–1, 1] → [- π/2, π/2]. Find domain and range of fog (x).
Domain of f(x) : (0, ∞)
Range of g(x) : [- π/2, π/2]
values in range of g(x) which are accepted by f(x) are (0, π/2]
Hence domain of fog(x) is x ∈ (0, 1]
