Answer:
[tex](f\ o\ g)(x) = 3x[/tex]
[tex]-\infty < x < \infty[/tex]
Step-by-step explanation:
See comment for right presentation of question
Given
[tex]f(x) = ln(x^2)[/tex]
[tex]g(x)=\sqrt{e^{3x}}[/tex]
Solving (a): (f o g)(x)
This is calculated as:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
We have:
[tex]f(x) = ln(x^2)[/tex]
[tex]f(g(x)) = \ln((g(x))^2)[/tex]
Substitute: [tex]g(x)=\sqrt{e^{3x}}[/tex]
[tex]f(g(x)) = \ln(\sqrt{e^{3x}})^2[/tex]
Evaluate the square
[tex]f(g(x)) = \ln(e^{3x})[/tex]
Using laws of natural logarithm:
[tex]\ln(e^{ax}) = ax[/tex]
So:
[tex]f(g(x)) = \ln(e^{3x})[/tex]
[tex]f(g(x)) = 3x[/tex]
Hence:
[tex](f\ o\ g)(x) = 3x[/tex]
Solving (b): The domain
We have:
[tex]f(g(x)) = 3x[/tex]
The above function has does not have any undefined points and domain constraints.
Hence, the domain is: [tex]-\infty < x < \infty[/tex]
35=11x. i need help
Answer:
x= 35/11
Step-by-step explanation:
steps
35 = 11x
swich sides
11x = 35
Divide both sides by 11
11x/11 = 35/11
simplify
x = 35/11
Help I will give out
Answer:
x = 9
Step-by-step explanation:
The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).
Setup:
[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]
"Cross multiply."
[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]
Identify the relationship of each angle pairs. Choose your answer from the choices given.
Answer:
Q.1 corresponding
Q.2 alternate exterior angle
Q.3 same side interior
Q.4 alternate interior angle
FUNNY FUNNY
WORDS WORDS
WORDS WORDS
(rebus puzzles)
Answer:
BAMBOOZLED
CONFUZZLED
SUPERCALIFRAGILICSTICEXPIALIDOCIOUS
Step-by-step explanation:
Answer: Bumfuzzle
Fartlek
Hullaballoo
Step-by-step explanation:
During math class, Derek draws a circle with a compass. The circle, according to his calculations, has a circumference of 119.32 millimeters. What is the circle's radius?
Use 3.14 for .
Answer:The radious is 73T by 6H the problem is delciate
Step-by-step explanation:
PLS HELP
39. For each part (a)-(f), find the value of y when x = -2. Show your work
a. y = 3x - 7
b. 3x – 2y = 10
c. 7x – 4y = 12
d. x = 4y - 2
e. 3 = 2x - y
f. 12 = -3x – 4y
Here are 2 right triangles. Explain how you know the right triangles are similar.
Answer:
Step-by-step explanation:3x + 2x =5x
you just know
Step-by-step explanation:
Find the scale factor of the two triangles
Which line has the same slope as the lone passing through (-4,-1) and (-1,-7)
1) 6x+3y=5
2)y=-1/2x-7
3)y=-2
Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the two points into the formula and solve:
[tex]m = \frac{(-7)-(-1)}{(-1)-(-4)} \\m = \frac{-7+1}{-1+4} \\m = \frac{-6}{3} \\m = -2[/tex]
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of [tex]y = -\frac{1}{2} x-7[/tex] is [tex]-\frac{1}{2}[/tex] since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of [tex]6x + 3y = 5[/tex], isolate y to put the equations into slope-intercept form ([tex]y = mx + b[/tex] format), and whatever the coefficient of the x-term is will be the slope.
[tex]6x + 3y = 5\\3y = -6x+5\\y = -2x + \frac{5}{3}[/tex].
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
What is the area of the following circle? Use 3.14 for pi.
Answer:
200.96
Step-by-step explanation:
A = 3.14r²
A = 3.14×64
A = 200.96
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long. 7.5 meters wide, and 4.6 meters high. What is the volume, rounded to the nearest cubic meter, of the aquarium? EXPLAIN.
A. 280
B. 623
C. 790
D. 1288
( If you put an improper answer I will report :) )
Find the co-ordinates of the point where the line y = 3x - 8 crosses the y-axis.
Zane asks 50 random people in a town of 1,500 whether or not they are registered to vote. 44 out of the 50 are registered. Based on this data how
many people in the town are likely registered to vote?
Answer:
1320
Step-by-step explanation:
i am
Drag each number to the correct location on the table. Each number can be used more than once.
Match the positions on the number line with the numbers they represent.
-2.2
2.2.
-1.8
1.8
Answer:
this is right
Step-by-step explanation:
Sorry if this is late...
1. 1.8
2. -2.2
3. 1.8
4. -2.2
5. -1.8
6. -1.8
7. 2.2
8. 2.2
I got this right on the edmentum test if this is wrong then I'm sorry.
a display that uses bars to show data is an
um ineed help in middles school way 2q < -12
Answer: q >-6
Step-by-step explanation:
Which polynomial is a difference of two squares? (4 points)
x2 - 12
x2 + 12
x2 – 36
x2 + 36
Answer:
[tex] {x}^{2} - 36 [/tex]
Step-by-step explanation:
[tex] {x}^{2} - 36 \\ \\ = {x}^{2} - {6}^{2} [/tex]
Find the measure of angle b. Show work to prove your answer.
b/50
Answer:
b = 130°
Step-by-step explanation:
angles b and 50° are supplementary angles so their sum is 180°.
b = 180° - 50° = 130°
Answer:
Step-by-step explanation:
right angel u have to angel it with a pen on a paper but i know its b/50 cuz i did it already.
What is the domain of the function
Please help me ASAP..
Answer:
x = -8
Step-by-step explanation:
5(x - 1) = -45
5x - 5 = -45
add 5 to each side of the equation:
5x = -40
divide both sides by 5:
x = -8
4. What is the experimental probability of spinning orange?
Find the value of x.
899
46
X
Answer:
I think it's 45.
Step-by-step explanation:
46 + 89 = 135
adding all the angles of a triangle will always equal 180.
180 - 135 = 45
the last angle is 45.
2) AABC is an isosceles triangle with
Perpendicular lines create 90 degree angles.
Perpendicular lines have opposite reciprocal slopes.
Answer:
sa
Step-by-step explanation:
19 Jaime bounces a basketball 30 times in 25 seconds. At that rate,
approximately how many times will she bounce the ball in 65 seconds?
A 78
B 80
C 55
D 64
Answer:
A.78
Step-by-step explanation:
[tex]\frac{30}{25sec}[/tex] -----> [tex]\frac{78}{65sec}[/tex] (scale by 2.6)
You cant get the answer by following these steps.
1. To find out how much we must increase with our scaling we must divide the denominators.
[tex]\sqrt[25]{65}[/tex]= 2.6
2. Then, we do the scaling. Multiply the numerator and the denominator by 2.6.
num- 30 x 2.6= 78.0 (DONT FORGET UR DECIMALS)
dem- 25 x 2.6 = 65
3. Now you have your answer and all you need to do is show it in fraction form as seen below the words "step by step explanation"
Gook luck and pls give brainlist
Noveli has a credit limit of $3,000 on her credit card.
She had a previous balance of $55.60 from last month on her credit card.
She made a payment of $310
She made purchases for the month that totaled $409.00
She had a finance charge of $11.75
What is Noveli's available credit on her credit card?
Answer:
Your credit card issuer will calculate your finance charge for you in your bill, but ... when you're charged one, so there's not necessarily a need to calculate it on your ... With most credit cards, the billing cycle is shorter than a month, for example, ... transactions made on your credit card in the current or previous billing cycle.
Step-by-step explanation:
What is 123,000,000 as a multiple of a power of 10
Answer:
1.23x10^8
Step-by-step explanation:
When two parallel lines are cut by a transversal, the corresponding angles are
Question 20 options:
A)
not congruent.
B)
congruent.
C)
complementary.
D)
supplementary.
Answer
B Congruent
Step-by-step explanation:
Corresponding angles are congruent when the lines are parallel
Answer:
B) Congruent
Step-by-step explanation:
Corresponding angles are always equal to each other.
You have collected data on the average weekly amount of studying time (T) and grades (G) from peers at your university. Changing the measurement from minutes into hours has the following effect on the correlation coefficient:
a. cannot be computed since some students study less than an hour per week
b. does not change the rTG
c. decreases the rTG by dividing the original correlation coefficient by 60
d. results in a higher rTG
Answer:
b. does not change the rTG
Step-by-step explanation:
If the average weekly amount of studying time and Grade are compared such that a certain correlation Coefficient value is obtained, changing the unit of measurement of any of the variables, will not affect the value of the correlation Coefficient most notably because the value of R, correlation Coefficient is a normalized or standardized value that ranges between - 1 and 1 and hence, resistant to unit changes in the compared variables. Hence, Correlation coeffient for the rate of study and grade obtained will not change even if rate of study is measured in hour.
Answer:
b. does not change the rTG
Step-by-step explanation:
PLS HELP ASAP!! WILL MARK BRANILY TO PERSON WHO IS CORRECT!!!
In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. What is the theoretical probability of pulling a blue marble and then a yellow marble? 0.1667 0.0556 0.0278 0.3333
Answer:
0.0556
Step-by-step explanation:
P(Blue,Yellow) = 1/6 x 2/6 = 1/18 = 0.0556
o
What is the value of x in the equation 7x+2y= 48, when y = 3?
Answer: X=6
Step-by-step explanation:
Divide 9(7y − 15) by 110 − 6y4
