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

2 years ago

What power of 10 makes the number 3 equal 3,000

Ymorist [56]

Answer:

The third

Step-by-step explanation:

10,100,1000

1 zero

2 zeros

3 zeros

7 0

3 years ago

Priya has completed 9 exam questions. This is 60% of the questions on the exam.

Natali [406]

Answer:

Your answer is 15, 100% of the exam is 15 questions.

Step-by-step explanation:

60% x ? = 9

We need to do 9 divided by 60%

Which is actually 9 divided by 60/100.

Which is equal to; (100 x 9) divided by 6.

Which is then 900 divided by 60 which equals 15.

Answer: 15

7 0

2 years ago

a 175cm tall student casts a shadow that is 2.3cm long. at the same time, a tree casts a shadow that is 8.2m longest

Anika [276]

Ok so I’m assuming the question is how the tall is we need to find the Angle of the sun so

Student : 175

Shadow: 2.3

Hypotenuse: 175.0151136

Using -cos(175/175.0151136) we find the

Suns angle: .753 Above him/her

Our tree’s shadow:8.2

Using the suns angle we use cos(x

8 0

2 years ago