Question

Helppppppppppppppppppp please

Answer 1

`\sqrt[]{(x+8)/(4)}-3`

Explanation:

`g(x)=4(x+3)^2-8`

First rewrite
`g(x)` as y

`y=4(x+3)^2-8`

Now swap y and x

`x=4(y+3)^2-8`

Add 8 on both sides.

`x+8=4(y+3)^2-8+8`

`x+8=4(y+3)^2`

Divide by 4.

`(x+8)/(4) =(4(y+3)^2)/(4)`

`(x+8)/(4)=(y+3)^2`

Extract the square root on both sides.

`\sqrt[]{(x+8)/(4)}=\sqrt[]{(y+3)^2}`

`\sqrt[]{(x+8)/(4)}=y+3`

Subtract 3 on both sides.

`\sqrt[]{(x+8)/(4)}-3=y+3-3`

`\sqrt[]{(x+8)/(4)}-3=y`