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.

4 0

3 years ago

Franklin bought 10.7 pounds of potatoes and 0.74 pounds of carrots. How many pounds of vegetables did he buy in all?

Greeley [361]

Answer:

brainiest give promise

Step-by-step explanation:

27.9 pounds

24.37 + 3.53 = 27.9

7 0

2 years ago

Find the total number of outcomes, rolling a number cube and tossing<br> two coins

Tcecarenko [31]

A number cube has 6 different numbers.

A coin can have 2 outcomes ( heads or tails.)

Total out comes = 6 x 2 x 2 = 24

5 0

2 years ago