Question

given f(x)= 3 square root x-5 , g(x)= x^3+1 find g f(x). Can someone explain to me this question step by step? I don’t know why I’m getting wrong answer pls help!

Answer 1

`f(x) = 3 √(x - 5) \\ g(x) = {x}^(3) + 1 \\ g(f(x)) = g(3 √(x - 5) )`

rewrite x in g(x)

`= {(3 √(x - 5)) }^(3) + 1 \\ = {3}^(3) * {( √(x - 5) )}^(3) + 1 \\ = 27(x - 5) √(x - 5) + 1`

just observe ?