Question

gof तथा fog ज्ञात कीजिए यदि \(f(x)=8 x^{3}\) तथा \(g(x)=x^{1 / 3}\)

Answer 1

\( f(x)=8 x^3 \text { and } g(x)=x^{1 / 3}\)

\(gof=go f\left(x(x)=g\left(8 x^3\right)=\left(8 x^3\right)^{1 / 3}=\left(2 x^3\right)^{1 / 3}=2 x\right.\)

\( f \circ g=f o f g(x)=f\left(x^{1 / 3}\right)=8\left(x^{1 / 3}\right)^3=8 x .\)