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
kipiarov [429]
3 years ago
13

If g (x) = StartFraction x + 1 Over x minus 2 EndFraction and h(x) = 4 – x, what is the value of (g circle h) (negative 3)? Eigh

t-fifths Five-halves Fifteen-halves Eighteen-fifthsFor which pairs of functions is (f circle g) (x)? f (x) = x squared and g (x) = StartFraction 1 Over x EndFraction f (x) = StartFraction 2 Over x EndFraction and g (x) = StartFraction 2 Over x EndFraction f (x) = StartFraction x minus 2 Over 3 EndFraction and g (x) = 2 minus 3 x f (x) = one-half x minus 2 and g (x) = one-half x + 2
Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

Step-by-step explanation:

Given  g (x) = \frac{x+1}{x-2} and h(x) = 4-x, we are to find (goh)(-3)

First we need to get (goh)(x)

(goh)(x) = g(h(x))\\g(h(x))= g(4-x)\\g(4-x) = \frac{(4-x)+1}{(4-x)-2}\\ g(4-x) =  \frac{5-x}{2-x}\\substitute \ x = -3 \ into \ resulting \ function\\ g(4-x) =  \frac{5-x}{2-x}\\(goh)(-3) =  \frac{5-(-3)}{2-(-3)}\\\\(goh)(-3) =  \frac{8}{5}\\

Hence (goh)(x)\ is \ Eight-fifths

Also given f(x) = x and g(x) = 1/x, we are to find (fog)(x)

(fog)(x) = f(g(x))\\f(g(x)) = f(\frac{1}{x}  )\\ since \ f(x) = x^2, we\ will \ repalce\ x \ with \ \frac{1}{x} \ to \ have;\\ f(\frac{1}{x}  ) =( \frac{1}{x})^2\\\\

f(\frac{1}{x} ) = \frac{1}{x^2}

For the pair of function f(x) = 2/x and g(x) = 2/x

f(g(x)) = f(2/x)

f(2/x) = 2/(2/x)

f(2/x) = 2*x/2

f(2/x) = x

Hence f(g(x)) = x

For the pair of function f(x) = x-2/3 and g(x) = 2-3x

f(g(x)) = f(2-3x)

f(2-3x) = (2-3x-2)/3

f(2-3x) = -3x/3

f(2-3x) = -x

f(g(x)) = -x for the pair of function

For the pair of function f(x) = x/2 - 2 and g(x) = x/2 + 2

f(g(x)) = f(x/2 + 2)

f(x/2 + 2) = f((x+4)/2)

f((x+4)/2) =  [(x+4)/2]/2 - 2

f((x+4)/2) =  (x+4)/4 - 2

find the LCM

f((x+4)/2) =  [(x+4)-8]/4

f((x+4)/2) =  (x-4)/4

Hence f(g(x)) for the pair of function is (x-4)/4

You might be interested in
You start driving north for 3 miles, turn right, and drive east for another 4 miles. At
Elanso [62]

Answer:

The straight line distance is 5 miles from starting point

Step-by-step explanation:

7 0
3 years ago
Please help i will give out brainliest
Aleksandr-060686 [28]

Answer:

a.  L.B. = 20.5

b.  U.B. = 21.5

Step-by-step explanation:

Length is measured 21 cm correct to 2 significant figures

a.  Lower bound of 21

  =  20.5 < 21

  = 20.5

b. Upper bound of 21

   = 21 < 21.5

   = 21.5

4 0
3 years ago
Find the least common multiple of these two expressions. 15x^7y^3u^8 and 6y^4u^5
snow_tiger [21]

Answer:

30x^7y^4u^8

Step-by-step explanation:

We have been given two expressions 15x^7y^3u^8 and

6y^4u^5

Now we need to find out least common multiple of these two expressions.

First we need to find out what is common factor of both expressions. 15x^7y^3u^8 and

6y^4u^5

Least common multiple means find the expression which can be divided by both expressions.

15 and 6 both goes into 30

so 30 is part of LCM (least common multiple )

Now pickup the highest exponent of each variable.

So we get x^7y^4u^8

Hence required least common multiple is 30x^7y^4u^8

8 0
3 years ago
I have an exercice in statistics, but I absolutely don't know how to answer the question. Could you please guys help?
Nataly [62]

Answer:

0.01

Step-by-step explanation:

Y and X is y

6 0
3 years ago
2/15<br> ÷<br> 1/30<br> brainliest to the person who gets it correct and fast
muminat

Answer:

4

Step-by-step explanation:

we know that 2/15 : 1/30 = 2/15 * 30 = 60/15 = 4

3 0
2 years ago
Read 2 more answers
Other questions:
  • Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentag
    7·1 answer
  • Hello! I need help on this. Thanks! :)
    8·1 answer
  • How would you make a t diagram between two cars and the models
    14·1 answer
  • What happens if you fail one semester in 8th grade?
    8·1 answer
  • With no advertising your newspaper has a circulation of 6000 papers. For each dollar you spend on advertising, your newspaper ci
    15·1 answer
  • What do you get when you cross the Atlantic with the titanic
    14·1 answer
  • Help me plz. Haven’t been able to answer this problem. Even my TEACHER is stumped. (Mark brainliest)
    6·2 answers
  • Add.<br><br> (9m−12)+(−3m2+15−5m)<br> Enter your answer, in standard form, in the box.
    9·1 answer
  • What is 2(c+7)=2c+14
    13·1 answer
  • Help someone with both of these ASAP thank you!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!