All categories

3 years ago

Algebra 2B U2 L6 Function Operations practice 8-10

Mathematics

1 answer:

Bess [88]3 years ago

6 0

Answer:

1) f(g(0)) = 0

2) g(f(2)) = 2

3) g(g(0)) = 8

Step-by-step explanation:

Here, the given functions are:

g(x) = 3 x +2 and f(x)= (x-2)/3

1. Now, f(g(x)) = f(3x+2)

Also, f(3x+2) = (3x+2 -2) /3 = x

So, f(g(x)) = x

⇒ f(g(0)) = 0

2. g(f(x)) = g((x-2)/3) = 3((x-2)/3) +2

or, g(f(x)) = x

⇒ g(f(2)) = 3((2)-2/3) +2 = 2

or, g(f(2)) = 2

3. g(g(0)= g( 3 (0) +2) = g(2)

Now, g(2) = 3(2) + 2 = 6 + 2 = 8

or, g(g(0)) = 8

You might be interested in

A grocery store has a 13%-off sale on all bread you decide to purchase 6 loaves of bread let b be the original price of a loaf o

Sonbull [250]

Answer:

Step-by-step explanation:

A grocery store has a 13%-off sale on all bread.

Let b represent the original price of a loaf of bread.

This means that the amount by which the price of bread was reduced would be

13/100 × b = 0.13 × b = 0.13b

The new price for the loaf of bread would be

b - 0.13b

you decide to purchase 6 loaves of bread. The expression would be

6(b - 0.13b)

Expanding the expression, it becomes

6b - 0.78b

7 0

3 years ago

A box of 15 cookies costs $9.<br> What is the cost for 1 cookie? <br> $_____

mel-nik [20]

Answer:

15 box of cookies =$9

1 box of cookie = $9/15=$0.6

6 0

3 years ago

Read 2 more answers

Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?

erastovalidia [21]

Answer:

the value of $a$ such that there is no solution to the equation is $a = -4$ .

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if $a$ is eliminated in the process and an absurd is the result (i.e. $0 = 7$ ).

$2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)$

$2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24$

$2\cdot a \cdot x+6=-8\cdot x-24$

$2\cdot a\cdot x +8\cdot x = -30$

$2\cdot (a+4)\cdot x = -30$

$(a+4)\cdot x = -15$

To obtain an absurd, we need that $a+4 = 0$ . Hence, the value of $a$ such that there is no solution to the equation is:

$a = -4$

Let prove the certainty of the result. We find that an absurd exist: ( $a = -4$ )

$0 = -15$

5 0

3 years ago

The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th

Katen [24]

Answer:

The height of the lighthouse is $742.5\ ft$

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

$tan(68\°)=\frac{h}{300}$

Solve for h

$h=(300)tan(68\°)=742.5\ ft$

7 0

3 years ago

Help me please im strugglin

IRINA_888 [86]

Answer:

propotianal

Step-by-step explanation:

Rise is how many you go up on the y axis x axis is how many you go to the left or right on the x axis if the number is negative you go the the right. the points match up with -4/1 - 1 so it's is proportional please give me brainliest

3 0

3 years ago