Question

if g(x)=³√x²+11; f(x)√x³-2, then fog(-4)=


options
1)3
2)4
3)5
4)6

please explain step by step​

Answer 1

fog(-4)=f(g(-4))=f(3)=5

g(-4)={(-4)(-4)+11}^1/3

g(-4)=(16+11)^1/3

=(27)^1/3

g(-4)=3

f(3)=√(3×3×3-2)

f(3)=√(27-2)

=√25

f(3)=5