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
maxonik [38]
3 years ago
11

Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

g(5)=5-2=3


Step 2: Plugging the answer to f(x)

f(3)=3(3)-6=9-6=3


ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


ANSWER: The domain of the function is all real numbers.

You might be interested in
Jacob and Ashley run an animal shelter that houses only cats and dogs. they have 37 adult animals 21 cats and 16 dogs. A group o
Bond [772]
The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
The most likely number of dogs = 16/37 x 8 = 3.46 ≈ 3 dogs

The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156
3 0
3 years ago
Is the answer a, b, c, or d
Sveta_85 [38]

Answer: 30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Explain the steps you would take to find the area of the following composite shape.​
julsineya [31]

What composite shape? Where is the shape?

7 0
3 years ago
The mathematics department sponsors Math Family Fun Night every year.  In the first year, there were 35 participants.  In the th
Korolek [52]

1,35     3,57

 

slope = (57 - 35)/(3 - 1) = 11

 

y = 11 x + b

 

35 = 11 (1) + b

b= 24

 

y = 11x + 24

 

y = 11(5) + 24 = 79

3 0
3 years ago
The measures of an angle and its supplement differ by 40°. What are the measures of the angles? Hint: An angle and its supplemen
bogdanovich [222]
Let the two numbers be x and x + 40, then
x + x + 40 = 180
2x = 180 - 40 = 140
x = 140/2 = 70
Therefore, the measures of the two angles are 70° and 70 + 40 = 110°
3 0
3 years ago
Other questions:
  • Wade has claims that quadrilateral ABCD is a square because he has found that all four sides are congruent as shown below:
    6·1 answer
  • What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce
    5·1 answer
  • Probability of rolling a 10, 11 or 12 on a 12 sided die
    15·2 answers
  • 17. Plies in the interior of ZRST. mZRSP = 40° and
    9·1 answer
  • Is urgent and will mark brainliest.
    13·2 answers
  • During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they so
    11·1 answer
  • 8 + 3x=29 +2x <br> I need answer ASAP
    12·1 answer
  • Which statement is not always true for a parallelogram?
    7·2 answers
  • In a survey of 400 people, 65% sald they owned a dog. How many people own a dog?
    7·1 answer
  • Unit test answers grade 4
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!