Answer:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
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Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Step-by-step explanation:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
PLS HELP ME PLS I WILL MARK BRAINLIEST PLS
Answer:
AB = 25
Step-by-step explanation:
First things first, we know that these triangles are similar. Now let's find BC using the Pythagorean Theorem. BC = [tex]5\sqrt5[/tex], this side is similar to the 5 side of the smaller triangle. That means each side of the larger triangle [tex]\sqrt5[/tex] times larger than the corresponding side on the small triangle. That means AB is [tex]\sqrt5[/tex] times larger than BC as well. So multiply BC by [tex]\sqrt5[/tex] get us the answer.
HELP ASAP
A horse runs 66 miles in three miles?
Answer:
A horse can't run 66 miles in three miles, THE HORSE WOULD BE RUNNING THREE MILES NOT 66 ;-;
Step-by-step explanation:
'
Im sorry you probably made a mistake while writing the question lol
6.5,5.5,4.5,3.5,_,_
What’s the number pattern?
Answer:
minus 1
Step-by-step explanation:
Answer:
2.5, 1.5
Step-by-step explanation:
should be easy, but that's my opinion
Hope this helps :)
Find the slope and y-intercept of the line in the graph:
Answer:
Slope: -2/3
Y-intercept: 2
please help! Giving points!
Answer:
Bee
Step-by-step explanation:
Ya like jazz?
ahhhhhhhhhhhhhhhhhhhh
Answer:
10.2
Step-by-step explanation:
Somone pls help if your good at math I’ll mark brainliest
Answer:
x=5
Step-by-step explanation:
(x--3)²+(4--2)²=10²
(x+3)²+36=100
(x+3)²=64
(x+3)²=8²
x=5
Which value is an output of the function?
-6
-2
4
7
Answer:
the awnser should be. -2
Please Help I’m failing geometry and I need to pass this
Answer:
Angle F and Angle L
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!
Answer:
9/25 = 36%
Step-by-step explanation:
First add up all of the students (150)
Then divide 54 by 150, 0.36
0.36 = 36% = 9/25
Will give Brainliest!!!
What is the y=mx+b of the equation x+3y=−15
Answer:
y = -1/3x - 5
Step-by-step explanation:
First, we need to get y by itself so we subtract x from both sides, giving us: 3y = -x - 15
Secondly, we need to isolate the y, so we divided the 3 out on both sides giving us: y = -1/3x - 5 which is our answer.
3. A flagpole that is 15 feet tall casts a 7-and-a-half-foot shadow. At the same time of
day, a nearby building casts 18 feet, 4 in. shadow. How tall is the building? Show your
answer in inches then convert to the feet.
Answer:
6
Step-by-step explanation:
What is this answer?
Answer:
B is the correct answer
State the number of solutions (One Solution, No Solution, or Infinitely Many) for each system
(2x + y = 2
2x + y = 8
(y = 3x - 7
7.
8.
9.
ly-2=-2x
3x + 5y = 5
y = 3x+2
A total of 100 students were surveyed
and asked which color they would like in
the school flag.
5 checked only green.
8 checked only red.
12 checked only blue.
19 checked red and green.
22 checked blue and green.
13 checked red and blue.
How many checked all 3 colors?
A 15 meter trunk broke and fell against a wall. The base of the tree is 10 meters from the wall. Found the distance from the ground to the top of the tree. Round your answer to the nearest tenth. Identify which trig function you will be using to solve the problem.
Answer:
11.2 m
Step-by-step explanation:
The distance from the ground to the top of the tree = h
Using Pythagoras rule :
Adjacent² = hypotenus² - opposite²
h² = 15² - 10²
h² = 225 - 100
h² = 125
h = Sqrt(125)
h = 11.18
h = 11.2 m to the nearest tenth
Identify the value of x that makes each pair of ratios
equivalent.
5:15 and x:3 (1 point)
A.5
B.3
C.1
Write the word sentence as an equation. A number y decreased by 9 is 8 An equation that represents this sentence is
Answer:
y-9 = 8
Step-by-step explanation:
what's 4/6 + 5/8 ? can u write it out so i can show my work?
Answer:
2 and 3/8
Step-by-step explanation:
4/6 = 6/8 so 5/8 + 6/8 = 2 and 3/8
figure b is a scaled copy of figure a, what is the scale factor from figure a to figure b?
If you don't give a good answer I will report you
Tickets to a movie cost $9.25 each. What is the total cost for 6 tickets?
Please help answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer: Easy awnser : 4
But if angles then it would be 4” 2”
:
Triangle EFG is dilated with a scale factor of 1/2 to create triangle E'F'G'.
The measure of angle G is 42 degrees. What is the measure of angle G'? *
a)21
b)42
c)84
d)148
-0.9y+4.4y-3.2y
I need it to be simplified!!!
Plz, help!
Answer:
0.3y
Step-by-step explanation:
-0.9y+4.4y=3.5y
3.5y-3.2y=0.3y
I need help with my math homework.
Find the slope of each line.
Thanks!
which of the following graphs shows a linear function?
Answer:
The last one
Linear function basically means that theres a straight line there that does not curve or change direction
Answer:
D (the last choice)
Step-by-step explanation:
This would be a linear function because it is the only one that is a straight line.
3. Which of the following is equivalent to the expression 8^5 x 8^2
Answer:
2097152 is the answer to your question
Answer:
2,097,152
Step-by-step explanation:
8 to the 5th power is 32,768 and 2 to the 2nd is 64
We multiply those two numbers, and we get 2,097,152
Hope this is right, and helps! Please mark Brainliest!!
7
7 6/7 - 3 1/10 =
0/1
Answer:
Step-by-step explanation:
0 = 0 < 3 1/
10
< 7 < 7 6/
7
0 is equal to 0 is less than 3 1/
10
is less than 7 is less than 7 6/
7
0/
70
= 0/
70
< 217/
70
< 490/
70
< 550/
70
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Which number represents 3.5 x 10^9
Answer:
3,500,000,000
Step-by-step explanation:
the exponent symbolizes how many places the decimal moves. since its positive, it moves to the right. if it where a negative exponent then it would move to the left.
I will check i do it on my phone ill help u out
Which would be an equivalent way to write y= 2 - 3x ?
a) y= -3x - 2
b) y= -3x + 2
c) y= 3x - 2
d) y= 3x + 2