Question

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

Answer 1

Answer:

  1, 4, 3, 6, 2, 7, 5

Step-by-step 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.

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

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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.