If f(x)=ln x and g(x)=e^x+1 find f(g(2))-g(f(e)) please help!!

Answers

Answer 1

Answer:

ln (e^2 + 1) - (e+ 1)

Step-by-step explanation:

Given f(x) = ln and g(x) = e^x + 1 to get  f(g(2))-g(f(e)), we need to first find the composite function f(g(x)) and g(f(x)).

For f(g(x));

f(g(x)) = f(e^x + 1)

substitute x for e^x + 1 in f(x)

f(g(x)) = ln (e^x + 1)

f(g(2)) = ln (e^2 + 1)

For g(f(x));

g(f(x)) = g(ln x)

substitute x for ln x in g(x)

g(f(x)) =  e^lnx + 1

g(f(x)) = x+1

g(f(e)) = e+1

f(g(2))-g(f(e)) = ln (e^2 + 1) - (e+ 1)


Related Questions

Find x I been trying to find this it so long

Answers

the answer is 35 centimeters

1. What is the product of 6.8 and 4.7?
A. 3.196
AB. 31.96
C. 319.6
D. 3196

Answers

Answer:

A

Step-by-step explanation:

Answer:

31.96

Step-by-step explanation:

Product means muliplaction.

6.8*4.7=31.96

Fred is training for a cross-country race. At practice last week, he ran 6.25 miles in 1 1/4 hours. At that speed, how long would it take Fred to run 8.5 miles?

Answers

Answer:

1.7 hours

Step-by-step explanation:

6.25/1.25= 5

8.5/5= 1.7

It would take Fred 1.7 hours to run 8.5 miles.

Simplify by combining like terms.

0.5x-x​

Answers

Answer:

[tex]-0.5x[/tex]

Step-by-step explanation:

[tex]0.5x-x[/tex]

First we need to simplify 0.5x-x.

[tex]0.5x+-x[/tex]

We need to combine like terms. Now add parenthesis.

[tex](0.5x+-x)[/tex]

[tex]-0.5x[/tex]

Now you got an answer!

Hope this helps!

PLEASE HELP ASAP! LOOK AT THE IMAGE

Answers

Answer: Number 1

Step-by-step explanation:

The second one
Because they’re negative the bigger #s are actually smaller and the smaller are bigger

What is 2x(3x+4)????

Answers

Answer:

The answer to your question is: 6x² + 8x.

2. If Q is the midpoint of line segment PR then what can you conclude
about segments PQ and QR? *

Answers

Segments PQ and QR are congruent

.......................

Please answer this I need help.

Answers

Answer:

Here I will explain this for you

Step-by-step explanation:

For the first questions 21-28 all you have to do is plug in 11 for s and plug in 8 for v. So then you would solve for the answers and that's all. For 29-34 a little hint is for you todo everything that is in () first than [] then multiply that answer by the outside number. For 35 and 36 plug in what you know form what it tells you into the formula. B=4 and H=9 for example plug that into the formula that they give which is bh/3 and you would get your answer. But always try to do the square root first if they give you that in the number. Also, don't forget to label your answer (cm) for the last to questions.

4ax+5ax=3ax+6 i have no clue how to figure this out

Answers

Answer:

x= 1/a  and a= 1/x

Step-by-step explanation:

(6x9) x 10^3 the value

Answers

The answer is 54,000

That is the answer because:
Following PEMDAS
6*9=54
So you now have
54*10^3
10^3=1000
54*1000=54000

whats the value of x (9x+5)° (5x+1)°

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Sketch a graph for the given situations. Tell whether each graph is discrete or continuous.

Answers

Answer:

the answer is that 7x6 42 so you must divide by x to get the population

Step-by-step explanation:

Find the coordinates of the missing endpoint if B is the midpoint of AC. A(1,7),B(-3,1)

Answers

Answer:

C(-7,-5)

Step-by-step explanation:

b is the mid point of AC

the coordinate of A ( 1,7)

the coordinate of B (-3,1)

XB=  (XA+XC)/2

-3 = (1+XC)/2

-6=1+XC

XC=-6-1 =-7

YB=(YA+YC) /2

1=(7+YC)/2

2=7+YC

YC=2-7

YC=-5

C(-7,-5)

Solve the Equation:
1/5x + 1/4x = 18

Answers

Answer:

4

Step-by-step explanation:

Step 1:

1/5x + 1/4x = 18

Step 2:

4/20x + 5/20x = 18

Step 3:

9/20x = 18

Answer:

x = 4

Hope This Helps :)

What is equivalent to 8x-y+3x

Answers

Answer:

11x-y

Step-by-step explanation:

11x-y

hope l helped

Calculate the ratio to the nearest hundredth (Please do them all for me)
PLEASE!

Answers

Answer:

3.14

Step-by-step explanation:

all of them problem is 3.14

The solution of the every given ratio is 3.14.

What is pi?

The number π is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

Given that, are the circle's circumferences and their diameters,

we need to find the ratio of both,

Since, we see that, the pi is the  ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

So, when we will solve the ratios given we will get pi,

Because the ratios are of circumferences and diameters,

So, the value of each ratio is 3.14

Hence, the solution of the every given ratio is 3.14.

Learn more about pi, click;

https://brainly.com/question/7676604

#SPJ3

Ameer biked 5 miles and then took a break. After the break,
he rode at a constant rate of 8 miles per hour for h hours.
What does the expression 5 + 8h represent?
A. Ameer's average rate of speed
B. the total time that Ameer rode
C. the total distance that Ameer rode

Answers

Answer:

C. You would be finding the total distance. You arent finding the rate because there is no division, and we dont know how long it took hime to ride the original 5. The answer is C.

I would really appreciate some help :)

Answers

Answer:

is the answer 7 i think sorry if it not correct but i think it is

Answer:

x ≥ 1: first photox ≥ 3: second photo

11
Which correctly solves the equation ab+c= d for b.
A b = d – a-c
B b = a (d - c)
d
C 6
с
a
d-c
D) b
a
Plz help

Answers

Answer:

[tex]b=\frac{d-c}{a}; a\neq0[/tex]

Step-by-step explanation:

[tex]ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\\boxed{b=\frac{d-c}{a}}; a\neq0[/tex]

Hope this helps.

Answer: ......

Step-by-step explanation: ....

(b)
[tex] {4}{a}^{2} + {b}^{2} [/tex]


Answers

Answer:

 A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2 

Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :   (2a + b)  •  (2a - b) 

A club has $5$ members from each of $3$ different schools, for a total of $15$ members. How many possible ways are there to arrange a presidency meeting under the following conditions: i. The club must choose one of the $3$ schools at which to host the meeting, and ii. The host school sends $2$ representatives to the meeting, and each of the other two schools sends $1$ representative.

Please answer this correctly, I will mark the person who gets it correct Brainliest.

Answers

Answer:

750

Step-by-step explanation:

Pick one of the schools as the host. There are C(5, 2) ways to select the two representatives from that school and C(5, 1) ways to pick a representative from each of the other schools. So once we have selected a host school, there are 10*5*5=250 ways to pick the representatives. However, any of the three schools can be the host, so we need to multiply 250 by 3 to get 750 ways.

what is 8x-2-5x+5=12​

Answers

x = 3!! i started by grouping the terms and then using inverse operations to single x

How do I do this. I don't know how to do it. ​

Answers

Answer:

I'm guessing, say all of them are 20 cm, by the looks of it

Answer:

I think your just guessing what the centi-meters are for that specific letter

Step-by-step explanation: I dont know :P

Which expression is equivalent to 10p - 35?
a) 5(2p-7)
10(-35)
5p(2-7)
d
10p(-35)

Answers

Answer:

a: [tex]5\left(2p-7\right)[/tex]

Step-by-step explanation:

[tex]10p-35[/tex]

[tex]5* \:2p-5* \:7[/tex]

[tex]5\left(2p-7\right)[/tex]

Which sequence of transformations proves congruence from parallelogram EFGH to parallelogram
E'F'G'H'?

A. Reflect across the x-axis, then rotate 180°

B. Rotate 180°, then reflect across the x-axis

C. Translate 12 units down, rotate 90° clockwise, then reflect across the y-axis

D. Rotate 90° counterclockwise, reflect across the y-axis, then reflect across the x-axis​

Answers

Answer:

D.

Step-by-step explanation:

Answer:

its definitely D hope I helped

How do you determine where to put the units in the conversion factor when filing in your fraction to work with

Answers

well first you have to find which is the top number and the top is called the numerator and which is the bottom number And it’s the called the denominator.

Solve the equation
Z+3=-6
Z=????

Answers

Answer:

Z=-9 that is the question

You would subtract 3 from -6 and you would get -9. Z=-9

what is the slope of this line?

Answers

Answer:

Step-by-step explanation:

(-2, 0), (1, 2) = (2 - 0)/(1+2)= 2/3

Estimate the square root. Round to the nearest integer.
V56

Answers

The 2 square numbers closest to 56 are 49(7x7) and 64 (8x8)

So the square root is somewhere between 7 and 8

56 is 7 away from 49 and 8 away from 64 so we know the number will round to 7 but be fairly close to 7.5.

A good estimation would be 7.4

It’s asking you to round to the nearest integer (no decimals) so this would be 7

Because square roots are both positive and negative and it’s asking for it as an integer (includes negative numbers), the answers is +7 or -7. Both are the correct answer

simplify 18r + 6 - 12y + 5r + 9​

Answers

Answer:

[tex]23r-12y+15[/tex]

Step-by-step explanation:

[tex]18r + 6 - 12y + 5r + 9[/tex]

Group the similar terms together:

[tex]18r+5r-12y+6+9[/tex]

Add the variable "r":

[tex]23r-12y+6+9\\[/tex]

Add the numbers:

[tex]23r-12y+15[/tex]

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