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
Viktor [21]
3 years ago
6

If g(x)*x+1/x-2 abd h(x)=4-x, what is the value of (g*h) (-3)

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

The value of (g*h) (-3)  is =-\frac{112}{3}

Step-by-step explanation:

If g(x) = x+\frac{1}{x}-2 and h(x)=4-x

We have to find (g*h) (-3)

First multiply g(x) with f(x)

(x+\frac{1}{x}-2)\times (4-x)

Distribute\:parentheses

=x\cdot \:4+x\left(-x\right)+\frac{1}{x}\cdot \:4+\frac{1}{x}\left(-x\right)+\left(-2\right)\cdot \:4+\left(-2\right)\left(-x\right)

\mathrm{Apply\:minus-plus\:rules}

+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab

=4x-xx+4\cdot \frac{1}{x}-\frac{1}{x}x-2\cdot \:4+2x

simplify

=-x^2+6x+\frac{4}{x}-9

Now, put x= -3 in above expression

=-(-3)^2+6(-3)+\frac{4}{-3}-9

=\left(-\frac{1}{3}-3-2\right)\left(4+3\right)

=\left(-\frac{16}{3}\right)\left(4+3\right)

=7\left(-\frac{16}{3}\right)

=-\frac{16}{3}\cdot \:7

=-\frac{112}{3}

Therefore, the value of (g*h) (-3) is -\frac{112}{3}

You might be interested in
Which table represents a liner function pls someone help a innocent 8th grader!!!!
Rufina [12.5K]

I think its B but I’m not sure since I can’t fully see D.

Hope this helps!

3 0
3 years ago
44, 27, 35, 22, 44, 38, 40<br> Mean , Median_ , Mode
jek_recluse [69]

Mean 35.714 Med 38 Mode 44

Step-by-step explanation:

new arrange from lowest to largest numbers

22 27 35 38 40 44 44

mean = plus of all number/ number

= (22+27+35+38+40+44+44)/7

= 35.714

Median = the central value

= 38

Mode = the most frequency

= 44 (2 numbers)

6 0
3 years ago
Read 2 more answers
Justin wants to make a necklace with 72 beads. He knows that 12 beads
strojnjashka [21]
Answer: 60.96 cm

12 beads take up 4 inches

72/12 = 6

Hence, 72 beads take up 4 * 6 inches

72 beads take up 24 inches

24 inches = 24 * 2.54

24 inches = 60.96

4 0
2 years ago
Read 2 more answers
What is the product of 3 and 2/11
aalyn [17]
Six over eleven the answer to this problem.
3 0
3 years ago
Read 2 more answers
Sarah earned a grade of 80% on the math exam that had 75 problems. How many correct problems did Sara answer?​
xenn [34]

Answer:

60

Step-by-step explanation:

80/100 times 75 and you will get 60

3 0
3 years ago
Other questions:
  • A number that tells how many times the base is used as a factor
    13·1 answer
  • I need help with 3-5 (yes i know there is a typo)
    14·1 answer
  • Ian has 14 boxes of paper and divides them evenly between 4 coworkers. How many whole boxes did each coworker get?
    8·2 answers
  • 1/2 of 12 = 1/4 of ?
    8·2 answers
  • the strip of wood 78 inches long has to be cut into pieces of 3 3/4 inches long how many pieces can be cut
    11·1 answer
  • Factor the expression 12x^2 + 14x - 6. You must show your work.
    11·1 answer
  • WILL MAKE YOU BRAINLEIST <br> Answer the question down below.<br><br> explain the answer well!!!
    11·2 answers
  • 7. Solve. Reduce the answer to lowest terms.<br> 8/21 - 14/15
    9·1 answer
  • Please help I’ll give you brainleist
    12·1 answer
  • Josh went to a local barber to get his haircut. It cost $18 for the haircut. Josh tipped the barber 15%. What was the total cost
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!