What order of operations equal -5

Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

3 years ago

Compute the total and annual return on the following investment Two years after paying 53500 for shares in a startup company you

wel

Answer:

-46.91%

Step-by-step explanation:

Given:

Cost of buying the shares = $53,500

Selling cost of the shares = $3,300

Number of years = 2

Since the selling cost is less than the buying cost, therefore the statement for the loss can be verified

Now,

The loss = Selling cost - cost of buying = $3,300 - $53,500 = - $50,200

thus, the loss per year = $\frac{\textup{50,200}}{\textup{2}}$ = -$25100

Hence,

Rate of return = $\frac{\textup{Loss per year}}{\textup{Cost of buying}}\times100$

or

Rate of return = $\frac{\textup{-25100}}{\textup{53,500}}\times100$

or

Rate of return = -46.91%

4 0

3 years ago

¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ?

Ilia_Sergeevich [38]

Answer:

3 años 4 meses

4 primer año

4 segundo año

4 tercer año pero nos falta 4 meses 4/12 = .33333 esto x 4 los meses = 1.3333

____

13.3333

7200 * .133333= 959.9976 por aproximacion son 960

7200+960 = 8160 Es el monto producido

Opcion C

3 0

3 years ago

The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?

Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

$Volume = \frac{1}{3} \times \pi {r}^{2} h$

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

$2279.64= \frac{1}{3} \times (3.14) \times {r}^{2} \times 18$

$2279.64= 18.84 {r}^{2}$

${r}^{2} = \frac{2279.64}{18.84}$

${r}^{2} = 121$

We take positive square root to get;

$r = \sqrt{121}$

$r = 11in$

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0

3 years ago

For which set of data are the median and mode the same number?

dlinn [17]

1 hghhhhhhgghhghhhhhhhhhhhh

5 0

3 years ago