Let f(x) = -2x + 7 and g(x) = -6x + 3. Find (f o g) and state its domain.

Answers

Answer 1
Answer:

(f\circ g)(x) = -2(-6x+3) + 7 = 12x - 6 + 7 = 12x + 1

The domain is all real numbers as a composition of two linear functions have no restrictions (all linear functions have domain of R)


Related Questions

2.Gasoline costs $1.99 per gallon. The price per gallon increases an average of 6%per month. a.Write an exponential growth model b.What is the price per gallon of gasoline after of the price of a gallon of gasoline after 14 months? (dollars) as a function of x months.
Is this the right answer?
What is 41/70 in simplest form
+8=54
Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs justoutside of their towns. They also agreed to update their signs once per year at the beginning of the year.During year 1, Franklin's sign read "Franklin: Population of 20,000", while Chester's sign read"Chester: Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by5% each year, and Chester's population grew by 500 people each year.What is the first year in which Franklin's sign shows a larger number than Chester's sign?

The product shown is a difference of squares. What is the missing constant term in the second factor?(–5x – 3)(–5x +?

Answers

Difference of two squares is of the form (a + b)(a - b) or vice-versa. Here, a = -5x and b = 3.
(-5x - 3)(-5x + 3)
Answer: 3

Answer: (–5x – 3)(–5x +3)

Step-by-step explanation:

3 is the answer.

this answer is 100% correct for edge.nuity

Quarantine has gotten my family a little crazy! I have forgotten thecombination to a lock. They know what it is but they won't tell me!
They know how much I love puzzles so they made a puzzle for me to
figure out the combination. Can you please help???
X The combination is 3 digits.
X -6-8-2" is not the combination but one of the numbers is
correct and is in the correct place
X "6-4-5" is not the combination One of the numbers is correct
but in the wrong place
"2-0-6" is not the combination Two of the numbers are
correct but in the wrong places,
7-8-6" is not the combination and none of the numbers are
correct
WHAT IS THE COMBINATION TO THE LOCK?
Class comments

Answers

I think the combo is 4-0-2

Answer:

052

Step-by-step explanation:

What is the product of 6 times 6 times 6 times 6 times 6 in exponent form

Answers

the answer to your question is 6^5
6 to the 5 power, so it would be 6 as the base and 5 as the exponent here it is in standard form (I think that's what they call it) > 6^(5)

Ok convert one million seconds to years using multistep unit conversions. So far I have 1,000,000/1 • 1/60 • 1\60 • 1/24 • 1/168 but I'm stuck please help im really ticked off

Answers

One major problem is that you're not keeping the units like I showed you.
I think you have everything there, except that I have no idea what that '168'
is all about.

Here it is with the units:

(1million seconds / 1)x(1min/60sec)x(1hr/60min)x(1 day/24hr)x(1 yr/365da)

= (1,000,000 x year) / (60 x 60 x 24 x 365) = 0.03171 year

Except for that screwy mysterious '168', you have everything there,
and in the right place.  Again, I'm going to say that you didn't realize
it, because you dropped all the units and suddenly all you saw was a
bunch of numbers in front of you.

Solve for x: 6x-8=4x+12-x

Answers

Hi,

x= 20/3

Have a great day!

Clifford is making a really big white cake for his sisters birthday. The recipe calls for 1.5 times as much flour as sugar. It also calls for 1/2 as much butter as sugar. All the butter, flour, and sugar together total7.5 cups. How much butter, sugar and flour does Clifford need?

Answers

Answer:

The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter

Explanation:

Consider the number of cup of flour used to be x

According to question,

Recipe calls for 1.5 times as much flour as sugar

Sugar =1.5 * Flour

Sugar = 1.5x

Butter = ½ x = 0.5x

According to question,  

Flour + Sugar + Butter = 7.5

x + 1.5x + 0.5x = 7.5

3x = 7.5

x = 2.5

Sugar = 1.5x = 1.5(2.5) = 3.75

Butter = 0.5(2.5) = 1.25

Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter