If f(x) = x³ and g(x) = tan x, then the domain of g∘f is: A. R B. R − {π/2 + nπ} C. R − {nπ} D. R − {∛(π/2 + nπ)} Answer: D) R − {∛(π/2 + nπ)} Explanation: (g∘f)(x) = g(x³) = tan(x³). Domain requires x³ ≠ π/2 + nπ → x ≠ ∛(π/2 + nπ) for any integer n.

imo class 12 relations and functions

If f(x) = x³ and g(x) = tan x, then the domain of g∘f is:

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If f(x) = x³ and g(x) = tan x, then the domain of g∘f is:

Answer: D) R − {∛(π/2 + nπ)}

Explanation: (g∘f)(x) = g(x³) = tan(x³). Domain requires x³ ≠ π/2 + nπ → x ≠ ∛(π/2 + nπ) for any integer n.