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
Lelechka [254]
3 years ago
14

Find the domain of f/g f(x)= sqrt 4-x^2 g(x)= sqrt 3x+4

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer:

(-4/3, 2]

Step-by-step explanation:

f(x)= sqrt (4-x^2)

g(x) = sqrt (3x+4)

domain of f(x)/ g(x)

The domain of the numerator is

4-x^2 ≥ 0

4 ≥x^2

Taking the square root of each side

-2 ≤x≤2

The domain of the denominator

3x+4 > 0  ( the denominator cannot be zero)

3x>-4

x > -4/3

Combine the restrictions to make it most restrictive

-4/3<x≤2

In interval notation

(-4/3, 2]

You might be interested in
You are given a choice of taking the simple interest on ​$10,000 invested for 2 years at a rate of 3​% or the interest on ​$100,
attashe74 [19]

Answer:

Compount interest earns more. Difference between 2 interest is $92 445.39

Step-by-step explanation:

Simple Interest:

I =  \frac{prt}{100}

p = $10000

r = 3%

t = 2years

I = (10000×3×2)/100

= $600

Total amount = $10 600

Compound Interest:

A = p( {1 +  \frac{r}{100}) }^{n}

p = $100000

r = 3/730 (daily)

t = 730 (2yrs)

A = 100000[1+(3/73000)]^730

= $103 045.39 (2d.p)

Difference = $103045.39 -

$10600

= $92 445.39

(Correct me if i am wrong)

8 0
4 years ago
What is the value of f(x)= 9^x when x=-2?<br> A) 1/8<br> B) 81<br> C) 1/18<br> D) 18
lions [1.4K]
Substitute -2 in for x and get (9)^-2
Flip the equation so that the exponent is positive and get 1/9^2
Work it out 1/(9*9) = 1/81

4 0
3 years ago
Write the slope intercept form of the equation of the line through the given point with the given slope through(-3,2), slope = -
arlik [135]
So basycilly slope intercept form is y=mx+b where m=slope and b=y intercept
slope=-1
subsiute
y=-1x+b
y=-x+b
so we are given the point (-3,2)
x=-3 and y=2 is one solution
subsitue and solve for b
2=-(-3)+b
2=3+b
subtract 3 from both sides
-1=b

the slopt inercetp form is y=-x-1

5 0
3 years ago
Read 2 more answers
The variable y has a proportional relationship with
Nana76 [90]

Answer:

11

Step-by-step explanation:

Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.

Using a point on the line, (4, 44),

Constant of proportionality, k = \frac{y}{x} = \frac{44}{4} = 11.

Constant of proportionality of the graph is 11.

3 0
3 years ago
Read 2 more answers
What’s the average for1/2,1/3 and1/6
Ugo [173]
1/2+1/3+1/6=3/6+2/6+1/6=6/6=1
By putting them all at the same denominator, you can add them all together.
then you have to divide it by 3 for the three.
1/3 is the average.
3 0
3 years ago
Other questions:
  • What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? A) 41 B) 43 C) 45 D) 47
    10·1 answer
  • The table below shows field goal statistics for three different kickers
    7·2 answers
  • Write an algebraic expression from the following
    12·1 answer
  • A distribution of numbers has the following five-number summary: 13.7, 24.5, 38.9, 50.0, 73.2 True or False? These numbers can b
    11·2 answers
  • 4. The ages of the volunteers at a local food
    14·1 answer
  • Tim and Lizzy are going camping. Tim has x amount of marshmallows for making stores. Lizzy has 6 times as many marshmallows as T
    15·2 answers
  • Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x
    7·2 answers
  • On a math test, you obtained a score of 66 points. This was 88% ofthe total number of points on the test. How many total points
    11·1 answer
  • 6437585839765349 + 52367538546941478 ?
    15·1 answer
  • The local high school is hosting the last soccer game. They charged adults, x, 5 dollars to enter, and 3 dollars for students, y
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!