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
r-ruslan [8.4K]
3 years ago
7

Find the domain of fg. f(x) = x2 +1 g(x) = 1/x a. all real numbers c. all real numbers, except -1 b. all real numbers, except 0

d. all real numbers, except 1
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
Fg=f(x)g(x)=(x²+1)/x
The function fg is not defined if the denominator = 0 which means x can’t be 0
So B is the right answer to this question
You might be interested in
. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a
crimeas [40]

Answer:

The base and height  of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{  3 } \pm \frac{ \sqrt{139}\, }{  3 }\\x = 1.59661\\x\approx 1.60

The value of base and height are:

\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}

Thus, the base and height  of the garden are 4.60 ft and 5.60 ft.

3 0
3 years ago
Gerry wants to construct a triangle with segments that
alexira [117]

Answer:

See Explanation

Step-by-step explanation:

Sample Response: No, the triangle is not possible. The triangle inequality rule states the sum of any two sides must be greater than the third side. 6 + 4 is 10, which is less than 11.

5 0
3 years ago
Find the volume of the square based pyramid.
frozen [14]
A = 1/3 * s^2 * h where s is a side of the base and h is the height.
4 0
3 years ago
Read 2 more answers
Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a
Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x²     (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u>     and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

        y - a² = 2a (x - a)                           y = 2ax - a²   ... (1)

line2: (y - a²) / (x + a) = - 2a                   y = -2ax- a²   ... (2)

(1) - (2): 4ax = 0       a≠0    x = 0

y = - a²

I wish I did it right, or ....

3 0
3 years ago
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if t
Sav [38]
N is greater than or equal to 30 would be the condition that must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population.
7 0
3 years ago
Read 2 more answers
Other questions:
  • 2x + 3y = -14 y = 6x + 22
    13·1 answer
  • The bases of a right prism are parallelograms with length of one of its sides a=8.5 cm and altitude to that side ha = 4 cm. Find
    9·1 answer
  • If 12,000 people voted in the election, and 35% of them were 50-64, how many people were 50-64?
    11·2 answers
  • Which statement is correct when a scatterplot is constructed?The independent variable is the input variable and should be repres
    9·2 answers
  • Complete the ratio table.
    9·1 answer
  • Factor the expression.<br> 8x+36
    11·2 answers
  • What is 5x8 + (10+9)
    14·2 answers
  • Could someone answer these problems ?
    14·2 answers
  • 60 = x^2 + 4x<br> Sixty equals x squared plus four times x.
    5·1 answer
  • Find the circumference. Use 3.14 for the value of pi. Round your answer to the nearest tenth.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!