Question

Please help I have a sucky teacher and don’t know what to do

Answer 1

1, 4, 3, 6, 2, 7, 5

Explanation:

The circle operator in
`f\circ g` means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation

`(f\circ g)(x)`

means

`f(g(x))`

That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.

`(f\circ g)(-4)\\\\=f(g(-4))\quad\text{write as function of a function}\\\\=f(-2(-4)^2)\quad\text{put -4 for x in $g(x)$}\\\\=f(-2(16))\quad\text{evaluate $(-4)^2$}\\\\=f(-32)\quad\text{evaluate $g(-4)$}\\\\=2(-32-1)\quad\text{put -32 for x in $f(x)$}\\\\=2(-33)\quad\text{first step evaluating $f(-32)$}\\\\=-66\quad\text{value of $(f\circ g)(-4)$}`

__

If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.