I don't know what to do.

just olya [345]

Step-by-step explanation:

these are composite functions : a function of a function of a value.

this can have many more "staging" levels.

in essence, we calculate the functional result of the innermost function (with the given value) first, use that functional result as input value for the next function to the left. use that functional result as input value for the next function to the left. ...

f(g(x)) means therefore we start with g(x).

g(f(x)) means we start with f(x).

that is all. it is really simple. and actuality fun (like a maze - remember e.g. computer games, where you walked through one door and excited through a totally different door ?).

f(g(0)) =

so, we need g(0) = 4 - 0² = 4

and now we calculate

f(4) = 7×4 + 6 = 28 + 6 = 34

therefore,

f(g(0) = 34

g(f(0)) =

so, we need f(0) = 7×0 + 6 = 6

and now we calculate

g(6) = 4 - 6² = 4 - 36 = -32

therefore,

g(f(0)) = -32

7 0

2 years ago

What is the solution to the equation below? Vx + 3 = x - 3 A. 3 B. 6 C. 5 D. 4

kherson [118]

Answer:

6

Step 1: Solve Square Root

Vx+3=x-3

x+3=(x-3)^2 (squared both sides)

x+3=x^2-6x+9

x+3-(x^2-6x+9)=0

(-x+1)(x-6)=0 (factor left side of equation)

-x+1=0 or x-6=0

x=1 or x=6

When you plug it in to check

1 (Doesn't Work)

6 (Work)

Therefore, 6 is your solution.

6 0

3 years ago

3.) If you deposit $4,000 for 6 years at a simple interest rate of 6%, how much will be in the account?

jeka57 [31]

6 x -y equals two times nine

5 0

3 years ago

SHOE COLLECTION: Marquise, Bron'Tavious, and JayDarius each have a shoe collection of Nike Air Vapor Max shoes. Marquise has two

Natasha_Volkova [10]

Answer:

(a) The number of shoes that Marquise has is 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has is 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has is 35 pairs of shoes

Step-by-step explanation:

The given information are;

The number of shoes that Marquise has = 2 × The number of pairs of shoes that Bron'Tavious

The number of pairs of shoes that JayDarius has = The number of pairs of shoes that Bron'Tavious + 15

The total number of pairs of shoes they have all together = 95 pairs of shoes

Let the number of pairs of shoes that Bron'Tavious has = X. Therefore, we have;

The number of shoes that Marquise has = 2 × X

The number of pairs of shoes that JayDarius has = X + 15

The total number of pairs of shoes they have all together = X + X + 15 + 2 × X = 95

X + X + 15 + 2 × X = 95

4 × X + 15 = 95

4 × X = 95 - 15 = 80

X = 80/4 = 20

∴ X = 20

(a) The number of shoes that Marquise has = 2 × X = 2 × 20 = 40

The number of shoes that Marquise has = 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has = X = 20

The number of pairs of shoes that Bron'Tavious has = 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has = X + 15 = 20 + 15 = 35

The number of pairs of shoes that JayDarius has = 35 pairs of shoes.

5 0

3 years ago

A fishing barge leaves from a dock and travels upstream (against the current) for 4 hours until it reaches its destination 12 mi

tresset_1 [31]

Answer:

v(b) = 4,5 mil/h speed of the barge in still water

Step-by-step explanation:

d = v*t barge going upstream 12 miles and 4 hours trip

barge returning back 12 miles and 2 hours trip

let call v(b) barge velocity and

v(w) water velocity

d = 12 (Mil) = 4 (h)* [(v(b) - v(w)]

3 = v(b) - v(w) (1)

d = 12 (mil) = 2 (h) * [ (v(b) + v(w)]

6 = v(b) + v(w) (2)

Equations (1) and (2) is a two system equation. Solving

from equation (1) v(w) = v(b) - 3

By subtitution in equation (2)

6 = v(b) + v(b) - 3

9 = 2v(b)

v(b) = 9/2 ⇒ v(b) = 4,5 mil/h

5 0

3 years ago