Answer:
g(x) = x+1
Step-by-step explanation:
f(x) = [tex]\sqrt[3]{x+2}[/tex]
h(x) =[tex]\sqrt[3]{x+3}[/tex]
h(x)= (fog)(x)= f(g(x))= [tex]\sqrt[3]{g(x)+2}[/tex]
so [tex]\sqrt[3]{x+3}[/tex] =[tex]\sqrt[3]{g(x)+2}[/tex]
cubing both sides ,we get
x+3 = g(x) +2
solving for g(x) ,we get
g(x) = x+1
