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
lianna [129]
3 years ago
12

If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)?

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

R-{13}

Step-by-step explanation:

We are given that

f(x)=x+7

g(x)=\frac{1}{x-13}

We have to find the domain of fog(x).

fog(x)=f(g(x))

fog(x)=f(\frac{1}{x-13})

fog(x)=\frac{1}{x-13}+7=\frac{1+7x-91}{x-13}=\frac{7x-90}{x-13}

Domain of f(x)=R

Because it is linear function.

Domain of g(x)=R-{13}

Because the g(x) is not defined at x=13

fog(x) is not defined at x=13

Therefore, domain of fog(x)=R-{13}

LenaWriter [7]3 years ago
3 0

Answer:

The domain is all real values of  except x = 13.

Step-by-step explanation:

(f o g)(x) =  (1/ (x - 13))  + 7.

The domain is all real numbers except x = 13.

You might be interested in
What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?
Tanya [424]

Answer:

y= 3x

Step-by-step explanation:

The slope is just read. It is 3. It is the value of m in the general equation.

y = mx + b

y = 3x + b

To find b, use (-1,-3)

x = -1

y = -3                  Substitute into the general equation

-3 = 3(-1) + b       Simplify the right side

-3 = -3 + b          Subtract -3 from both sides

b = 0

Answer: y = 3x

7 0
2 years ago
URGENT 20 POINTS <br> Select each graph that shows a function and its inverse.
Andre45 [30]

Answer: Graph first and fourth.

Step-by-step explanation:

If a function is reflected through line y=x,, we obtained an inverse function of that function.

In first graph,

The function is reflected through line y = x,

Hence, in this graph we obtained inverse functions.

In second graph,

The function is shifted horizontally,

This is why we did not get an inverse function.

In third graph,

The function is reflected through x-axis,

This is why we did not get the inverse of the function.

In fourth graph,

The function is reflected through line y = x,

Hence, in this graph we obtained inverse functions.

8 0
3 years ago
Read 2 more answers
Simplify (5b10)(−2b−3).
Angelina_Jolie [31]

Answer:

The answer is -10b11 -15b10

Step-by-step explanation:

8 0
3 years ago
A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo
Ivahew [28]

Answer:

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

Step-by-step explanation:

Given

P(Red) = \frac{2}{7}

P(Blue) = \frac{3}{14}

Required

Which completes the model

Let the remaining probability be x.

Such that:

P(Red) +  P(Blue) + x = 1

Make x the subject

x = 1 - P(Red) - P(Blue)

So, we have:

x = 1 - \frac{2}{7} - \frac{3}{14}

Solve

x = \frac{14 - 4 - 3}{14}

x = \frac{7}{14}

x = \frac{1}{2}

This mean that the remaining model must add up to 1/2

(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}

P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}

Take LCM

P(Green) + P(Yellow)= \frac{2+2}{7}

P(Green) + P(Yellow)= \frac{4}{7}

This is false because: \frac{4}{7} \ne \frac{1}{2}

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}

Take LCM

P(Green) + P(Yellow)= \frac{3+1}{8}

P(Green) + P(Yellow)= \frac{4}{8}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}

Take LCM

P(Green) + P(Yellow)= \frac{1+1}{4}

P(Green) + P(Yellow)= \frac{2}{4}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

Other options are also false

6 0
3 years ago
Read 2 more answers
Identify the slope of the given line.<br><br> y=x-5
laiz [17]

Answer:

m is the slope and b is the y-intercept. Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 50 POINTSSSS!!!!!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
  • Which equation has the solution x = 5?
    10·2 answers
  • Find the equation of the line in slope intercept form that passes through (0,4) and is parallel to the line 4x-3y=12?
    5·2 answers
  • The picture above wants me to make a equation with the table .
    15·1 answer
  • What is the volume of a sphere with a radius of 8.2 ft, rounded to the nearest tenth of a cubic foot?
    5·1 answer
  • Question 1 (1 point)
    5·1 answer
  • Sorry to bother you, but I am STUGGLYINGGG
    12·2 answers
  • Evaluate N/6 + 2 when n=12
    12·1 answer
  • Help please ASAP thank you!!!
    6·2 answers
  • Sam paid $55 for an hour of tutoring on Mondays and $95 for two hours on Tuesday. The hourly rate is $ per hour.The initial fee
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!