1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IceJOKER [234]
3 years ago
13

What is the value of (g*h)(-3)?

Mathematics
2 answers:
slega [8]3 years ago
8 0
ANSWER


\boxed {(g \circ \: h)( - 3) =  \frac{ 8}{ 5}}



EXPLANATION

The given functions are:


g(x) =  \frac{x + 1}{x - 2}


and

h(x) = 4 - x


Let us find

(g \circ \: h)(x)


This implies that,


(g \circ \: h)(x) = g(h(x))


(g \circ \: h)(x) = g(4 - x)


(g \circ \: h)(x) =  \frac{4 - x + 1}{4 - x  - 2}


(g \circ \: h)(x) =  \frac{5- x}{2 - x }



We now substitute x=-3


(g \circ \: h)( - 3) =  \frac{ 5 -  - 3}{ 2 -  - 3}



(g \circ \: h)( - 3) =  \frac{ 8}{ 5}


The correct answer is A

hichkok12 [17]3 years ago
7 0

Answer:

The correct answer is choice A.

Step-by-step explanation:

We have given two function.

g(x) = x+1 / x-2

h(x) = 4-x

We have to find the composition of given two functions.

(g*h)(x) = ? and then (g*h)(-3) = ?

(g*h)(x) = g(h(x)

putting the given values of given functions,we have

(g*h)(x) = g(4-x)

(g*h)(x) = 4-x+1 / 4-x-2

(g*h)(x) = 5-x / 2-x

(g*h)(-3) =5-(-3) / 2- (-3)

(g*h)(-3) =5+3 / 2+3

(g*h)(-3) = 8 / 5 Which is the answer.

You might be interested in
What is the value of 4/15 divided by 2/3
ruslelena [56]

Answer:

0.5

Step-by-step explanation:

I'm guessing os yeahhh

6 0
3 years ago
Emma buys a softball that is 70% off. If the original price is $30, how much does Emma pay?
Korvikt [17]

Answer:

$9

Explanation:

First, we need to find 70% of the original price of $30 using the following equation:

\text{ \$30 }\times70\text{ \% = \$30 }\times\frac{70}{100}=\text{ \$21}

It means that Emma pays $21 less than the original price. So, she pays:

$30 - $21 = $9

Therefore, the answer is $9

6 0
1 year ago
Find the unit rate for each person's typing test in words per second 0.5 words/second is the unit rate for James. 3 words/second
Salsk061 [2.6K]

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

  • James: 0.5 words per second
  • Shanya = 3 words per seconds

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist

Read more about unit rates at:

brainly.com/question/11848573

4 0
2 years ago
Waves with an amplitude of 2 feet pass a dock every 30 seconds. Write an equation for a cosine function to model the height of a
kolbaska11 [484]

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

\left | a \right | = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude \left | a \right | = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

The time for each complete cycle = 2 × 30 seconds  = 60 seconds

The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

The cosine function is h = 2·cos((π/30)·t).

4 0
3 years ago
9. Which of the following relations is a function?
elena-14-01-66 [18.8K]
The answer is D because the first number doesn’t reapeat
5 0
3 years ago
Other questions:
  • Rolff recently completed a book of 20 deduction puzzles. the scatterplot below shows the time it took rolff to solve a puzzle ve
    8·1 answer
  • Express the product of 2.03 and 24 to the correct number of significant digits.
    14·2 answers
  • The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Pa
    10·2 answers
  • What is the remainder when 4x^3+2x^2-18+38/x-3
    14·1 answer
  • Plz help y’all plz I do anythinv
    12·1 answer
  • Help me find the volume please! ( links = report )
    10·1 answer
  • The highest common factor of 12, 24, and 36<br>is<br>(a) 14<br>(b) 12<br>(c) 6<br>(d) 1​
    12·2 answers
  • simplify the following expression by combining like terms. select the most simplified expression; 2 W + 5 W - 6 + 4w ​
    8·2 answers
  • Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the re
    14·1 answer
  • If two lines are perpendicular, then they form right angles. If two lines meet at 90 angles. then they are perpendicular. Two li
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!