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
soldier1979 [14.2K]
2 years ago
12

Choose the domain for which each function is defined

Mathematics
1 answer:
klemol [59]2 years ago
6 0

Answer:

Part 1) f(x)=\frac{x+4}{x} -----> x\neq 0

Part 2) f(x)=\frac{x}{x+4} ----> x\neq -4

Part 3)  f(x)=x(x+4) ----> All real numbers

Part 4) f(x)=\frac{4}{x^2+8x+16} ----> x\neq -4

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

f(x)=\frac{x+4}{x}

we know that

In a quotient the denominator cannot be equal to zero

so

For the value of x=0 the function is not defined

therefore

The domain is

x\neq 0

Part 2) we have

f(x)=\frac{x}{x+4}

we know that

In a quotient the denominator cannot be equal to zero

so

For the value of x=-4 the function is not defined

therefore

The domain is

x\neq -4

Part 3) we have

f(x)=x(x+4)

Applying the distributive property

f*(x)=x^2+4x

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

f(x)=\frac{4}{x^2+8x+16}

we know that

In a quotient the denominator cannot be equal to zero

so

Equate the denominator to zero

x^2+8x+16=0

Remember that

x^2+8x+16=(x+4)^2

(x+4)^2=0

The solution is x=-4

so

For the value of x=-4 the function is not defined

therefore

The domain is

x\neq -4

You might be interested in
Write an
Delicious77 [7]

Answer:

Slope=2.

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where

X1,y1,=(-5, -11) X2,y2=(6,11).

Slope=-11-11/-5-6

=-22/-11

=22/11

=2

Slope is 2

7 0
2 years ago
Read 2 more answers
Simplify 2y^2 + 2y + 2y + 2x^2.
klio [65]

Answer:

2x^2+2y^2+4y would be your answer

Step-by-step explanation:

7 0
2 years ago
Which statements are true?
Murrr4er [49]

Answer:

All squares are parallelograms, and all rectangles are quadrilaterals are both true

Step-by-step explanation:

4 0
3 years ago
Plsss help this is a math problem
Darina [25.2K]
There are 4 terms in the expression
5 0
3 years ago
Read 2 more answers
Which is the directrix of a parabola with equation X^2=8y
aleksklad [387]
Alright so, After rewriting the equation in a standard parabola, you get:
4 x 2 (y-0) =(x - 0)^2

Simplify it to get: 
y= 0-p
y= 0-2

When you simplify that, your answer is:
y=-2

There you go folks, just saved you from reading that long paragraph of an answer the other guy has (I don't even think the answer is in there lol, I think he just wanted to help people solve it but still most people come here for answers)
4 0
2 years ago
Other questions:
  • A cone and cylinder have the same height and their bases are congruent circles. If the
    10·2 answers
  • Can you help me please?
    13·1 answer
  • Books at a library sale are sold for $3.50 each. A function, y = 3.50x can be used to generate an input/output table for this sc
    15·1 answer
  • When a fraction is reduced to lowest terms, the only factor the numerator and denominator have in common is _____.
    14·1 answer
  • Sketch a system of linear equations that has a solution of (-3, 7) on the coordinate grid provided. WILL GIVE BRAINIEST
    12·1 answer
  • (10+12x)(15x+1) please help me
    10·1 answer
  • The product of two factors is 6000 one of the factors is 3000 what is the other factor
    7·1 answer
  • 7x - 22 = 41<br> Im having trouble with this problem
    6·2 answers
  • Find the distance from roller coaster 1 to the swings please help
    8·1 answer
  • Rewrite 4/21 and 2/9 so that they have a common denominator,
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!