Given f(x)=√(x) and g(x)=x²-1.

Question

Find g∘g

Answer 1

f(x)=√(x) and g(x)=x²-1.

gog(x)=g(g(x))

           =g(x²-1)

           =(x²-1)²-1

Mathematics formulas: (a - b)² = a² - 2ab + b²

        ⁼(x²)²-2x^2+1-1

        =(x^4)-2x^2