If \(f(x) = x^{2}\) and \(g(x) = \sin x\), find g o f.

FURTHER MATHEMATICS
WAEC 2013

If \(f(x) = x^{2}\) and \(g(x) = \sin x\), find g o f.

  • A. \(\sin^{2} x\)
  • B. \(\sin x^{2}\)
  • C. \((\sin x)x^{2}\)
  • D. \(x \sin x\)

Correct Answer: B. \(\sin x^{2}\)

Explanation

\(f(x) = x^{2}, g(x) = \sin x\)

\(g \circ f = g(x^{2}) = \sin x^{2}\)



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