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
nataly862011 [7]
3 years ago
13

Given: g(x)=1/x+2 and h(x)=3x Check all restrictions on the domain of gOh.

Mathematics
2 answers:
Allisa [31]3 years ago
5 0

<em>x not equal to -2/3</em> is the answer.

Vlad [161]3 years ago
3 0

The composite function (g \circle h)(x) works like this:

  • Take a number x as input
  • Evaluate h(x) = 3x. Let's call this output z.
  • Evaluate g(x) = 1/(z+2)

So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

3x+2 \neq 0 \iff 3x \neq -2 \iff x \neq -\dfrac{2}{3}

You might be interested in
Lisa is buying a shirt and a hat at the mall. The shirt costs $30.98, and the hat costs $20.01. If she gave the sales clerk $100
Paha777 [63]

$49.01 would be her change

4 0
3 years ago
Read 2 more answers
A card game is being played and the 4 of hearts, 8 of clubs, and 9 of hearts
Margaret [11]
B. 32.6%..............
7 0
3 years ago
Read 2 more answers
Ben takes out a personal loan of £1200 with a simple interest rate of 20% for a term of 3 years how much is the total cost of th
lilavasa [31]

Answer:

$1920

Step-by-step explanation:

Original amount: £1200 x Simple interest rate: 0.2 x number of years: 3 = 720

Add Original onto simple interest

£1200 + £720 = £1920

Total Cost of personal loan after 3 years = £1920

5 0
2 years ago
Lee wanted to visit his grandmother who lives 1,400 air miles
77julia77 [94]

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

4 0
2 years ago
Pweassss e help meee◑__◐
Free_Kalibri [48]

Answer: C

Step-by-step explanation:

divide 342 by 7 and round to the nearest whole number

4 0
3 years ago
Other questions:
  • You asked amusement park visitors the question “How many times did you ride the Ferris wheel today?” as they left the park.
    9·2 answers
  • Help me in this
    14·1 answer
  • What is a debit card most like?
    11·1 answer
  • Yvettes younger brother just turned 3 years old Fred's brother is now 30 month old whose brother is older
    5·1 answer
  • There are four aces from a deck of cards. If a coin is tossed in an ace is chosen, what is the probability of getting heads on t
    5·1 answer
  • Jaclyn used the slope formula to find the slope of the line in which step did Jaclyn make an error?
    13·2 answers
  • 3 times what gets you 35?
    5·2 answers
  • -3(12 - m) = -1(m - 8)
    5·1 answer
  • Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou
    9·1 answer
  • Help me find the slope to these points<br> (2,5) and (8, -4)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!