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
MatroZZZ [7]
2 years ago
11

Find the domain of the function

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

f(x)=\frac{1}{\sqrt{4-x} }

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

You might be interested in
Find the volume of a right circular cone that has a height of 7.4 in and a base with a diameter of 5.4 in. Round your answer to
JulijaS [17]

Answer:

approximately 56.51 cubic inches

Step-by-step explanation:

volume of a cone = 1 / 3 × pi × radius^2 × height

= 1/3 × 22/7 × 7.29 × 7.4

= 56.5148 cubic inches

8 0
3 years ago
a candy bar box is in the shape of a triangular prism. The volume of the box is 1200 cubic centimetres. The base is 10 centimetr
Elina [12.6K]

Answer:

Step-by-step explanation:

V=\frac{HBL}{2}\\ \\ H=\frac{2V}{BL}\\ \\ H=\frac{2(1200)}{10(20)}\\ \\ H=12cm

7 0
2 years ago
(I|HEEEEELP)At the city museum, child admission is
lapo4ka [179]
LIKE 15.SOMETHING IDK M8 SORRY
5 0
3 years ago
What is the square root of 24?
ExtremeBDS [4]
2 square 6 this is because 24 goes into 4 and 6 and 4 goes into 2 twice
4 0
3 years ago
Find the sale price of a $50 bookshelf that is on sale for 15% off.
enot [183]

Answer:

You will pay $42.50

Step-by-step explanation:

You will pay 50-7.5 which gives you 42.50

5 0
2 years ago
Other questions:
  • What is the product of −2 2/5 and −3 5/6 ?
    7·2 answers
  • Use the formula to evaluate the series 3+6+12+24+48+96
    8·2 answers
  • John and Maria are spending the afternoon hiking in the desert. They purchased 6 bottles of water for $9.00, two protein bars fo
    9·1 answer
  • Two times the sum of a number and 8 equals 4
    7·1 answer
  • 6
    6·1 answer
  • If an object is thrown straight up from the ground what velocity does it need to be thrown in order to reach a height of 50 ft?
    13·2 answers
  • Sum of q and 10 is 20
    9·2 answers
  • What is the solution to the equation 1 over 24 x is equal to 1 over 6?
    14·1 answer
  • For each inequality , find two values for x that make the inequality true and two values that make it false .
    9·2 answers
  • What is the length of DE?<br> А. 8<br> В. 7<br> С. 6<br> D. 5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!