g(x) = 2 log(x - 1)
what is the inverse

Answers

Answer 1

Answer:

[tex]g^{-1}(x)=1+10^{x/2}[/tex]

Step-by-step explanation:

Inverse Function

Let's call:

[tex]y=2 log(x-1)[/tex]

Divide by 2:

[tex]y/2=log(x-1)[/tex]

Assuming the base of the log is 10, apply exponential base 10:

[tex]10^{y/2}=x-1[/tex]

Solving for x:

[tex]x=1+10^{y/2}[/tex]

Swap variables:

[tex]y=1+10^{x/2}[/tex]

Calling this function the inverse:

[tex]\boxed{g^{-1}(x)=1+10^{x/2}}[/tex]


Related Questions

Which property says given 3x2 + 1, if x = 5, then 3(5)2 + 1?
Transitive Property
Substitution
Property
Symmetric Property Reflexive Property
HURRY!!!

Answers

Answer:

Substitution property

Step-by-step explanation:

7/8 + (-2/3) divided by 5/6

enter your answer as a fraction in the simplest form

Answers

Answer:

23/72 is the answer in simplest form

Step-by-step explanation:

Does anyone know the answer to this ?

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Answer:

RE9PHYIOUHAHT8HSAPHTOASHO0TEHT

Step-by-step explanation:

i believe it’s .25 feet per year

5x-3=x-12 solve for x

Answers

Answer:

x=3

Step-by-step explanation:

Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor. 14 + 6

Answers

Answer:

2*7+2*3= 2*(7+3)

Step-by-step explanation:

Garcia's Grill offers 7 side dishes, 5 types of steak, and 8 toppings. How many different smothered steak dinners can be made if a smothered steak dinner consists of the customer's choice of steak served with 3 different toppings and 4 different side dishes?

Answers

Answer:

The number of smothered steak dinners that can be made is 9,800

Step-by-step explanation:

A smothered steak dinners consist of customer’s choice of steak with 3 different toppings and 4 different side dishes.

What this means is that;

Customer will select 1 steak out of 5 types

3 toppings out of 8

4 out of 7 side dishes

Thus, the number of steak dinners would be;

5C1 * 8C3 * 7C4

= 5 * 56 * 35 = 9,800

Which of the following scenario could be represented by 2/5?

Answers

Answer:   C

Step-by-step explanation: 2 is the numerator so you are dividing 2 by the denominator which is 5. Equation 2/5. So you can cross out A and B because they start with 5 and we need one that starts with 2. Then you can't divide people so your answer would be C because everything can be divided correctly.

five consecutive odd integers whose sum is 85

Answers

Answer:

13,15,17,19,21

Hope I helped! ☺

1/8 which value makes the inequality true?
A)1/5
B)1.6
C)0.09
D)the square root of 0.02

Answers

Answer:

0.125 < x < 0.18.... WHICH YOUR BEST ANSWER IS PROBABLY D

Step-by-step explanation:

The options are not complete

Given

x = 18%

x> 1/8

Required'

Determine the range that makes x an inequality

We have:

x< 18% and x > 1/8

Convert all to decimal

x < 0.18 and  x> 0.125

This can be rewritten as:

x< 0.18 and 0.125 < x

0.125 < x < 0.18

SO YOUR BEST BET IS ANSWER D

plzz ans my previous questions​

Answers

Answer:

ok

Step-by-step explanation:

1+1=2

then times it by 2

2x2=4

then add 4

4+4=8

Drag each expression to match its equivalent expression. Each expression may be used only once.

Answers

Answer:

x^2 = 1 / x ^ -2

x^4 ÷ x^3 = x

(x^2)^2 = x^4

x^3 × x^3 × x^3 = x ^ 9

Step-by-step explanation:

By using law on indices the equivalent expression of x² = 1/x⁻²,x⁴ ÷ x³ = x,(x²)² = x⁴ and x³ × x³ × x³ = x⁹.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

As per the given expression,

x² now by the law of indices that aˣ=1/a⁻ˣ.

Therefore,x² = 1/x⁻²

x⁴ ÷ x³ = x(x³)/x³=x

Now,

(x²)² the law of indices that (a²)³=a²ˣ³=a⁶

Therefore,(x²)² = x⁴

Now,

x³ × x³ × x³ the law of indices that aˣ × aˣ × aˣ =a⁽ˣ⁺ˣ⁺ˣ⁾

Therefore,x³ × x³ × x³ = x⁹

Hence "By using law on indices the equivalent expression of x² = 1/x⁻²,x⁴ ÷ x³ = x,(x²)² = x⁴ and x³ × x³ × x³ = x⁹".

To learn more about indices,

https://brainly.com/question/170984

#SPJ5

i need answer the right one cuz idk it

Answers

Answer:-6x^2-20x

Step-by-step explanation: multiply -2 by all factors

what is the sum of -3.561 + 258.6​

Answers

Answer:

255.039

Step-by-step explanation:

what is the y intercept of 2y-5x=16

Answers

To find y-intercepts, you substitute in 0 for X

2y-5x=16
2y-5(0)=16
2y-0=16
2y=16
Y=8

So the y-intercept is (0,8)

Answer:

2

Step-by-step explanation:

NEED HELP ASAP
in this graph, the y-intercept of the line is ___.
The equation of the line is y= __ x __.

BLANK 1:
•2
•-2
•0
•-1

BLANK 2:
•2
•-2
•1
•-1

BLANK 3:
•2
•-2
•1
•-1

Answers

answer:
use the app m a t h w a y ! have a good one

What is the measure of angle 2?

Answers

142 degrees

Vertical angles are congruent

Answer:

142

Step-by-step explanation:

they are the same length

If x + 3 = 10, then x = 7. What is the hypothesis and the conclusion?

Answers

Answer:

10 = 10

Step-by-step explanation:

x + 3 = 10

Substitute 7 in for x

7 + 3 = 10

Add

10 = 10

Answer: no wrong cause in order to get 7 as x=7 you need to do x+2=10 cause x+3=4 so that would be wrong

Step-by-step explanation: x=3=10 x=7

x+3=4x=10

4x-10=6

A car travels a distance of 1280 metres at an average speed of 64 kilometres per hour.
Ра:
Calculate the time it takes for the car travel this distance,
Give your answer in seconds​

Answers

Answer:

The answer is 20 hours

Step-by-step explanation:

This is becuase 1280 divided by 64 equals 20.  There are no unit coversions.

In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Given that,
A car travels a distance of 1280 meters at an average speed of 64 kilometers per hour.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Time  = distance/speed
Time. t = 1.280 / 64

t = 0.02 hours

Thus, In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ2



Write the equation of the graph to the right in Slope Intercept Form.

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

find your slipe and intercept using y=mx + b. mx, being slooe you'd use rise over run. And the b is your y-intercept, being 5.

Simplify this expression by combining like terms 7W + 3 - 4w + 5

Answers

Answer:

7W−4w+8

Step-by-step explanation:

Answer: 3w + 8

Step-by-step explanation: The problem is (7w) + (3) -(4w) + 5. Rearrage the equation to 7w-4w + 3 + 5. Then do the math and you get 3w + 8.

Can someone help me

Answers

[tex]f(x) = {2}^{x} [/tex]

You can answer them yourself but I like to help you to do it buddy.

Let's go....

[tex]f(1) = {2}^{1} = 2 [/tex]

[tex]f(2) = {2}^{2} = 4 [/tex]

[tex]f(3) = {2}^{3} = 8 [/tex]

[tex]f(4) = {2}^{4} = 16 [/tex]

[tex]f(5) = {2}^{5 } = 32 [/tex]

[tex]f(6) = {2}^{6} = 64 [/tex]

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Determine the measurement of the unknown angle measures in the given figure.

Answers

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Someone helppp pleaseee!!!!

Answers

Answer:

last option is the right answer.

2(x+y)=3(y-1)
If y=5 in the equation above, what is x?

Answers

Answer:

X=1

Step-by-step explanation:

2(X+5)=3(5-1)

2x+10=3*4

2x=12-10

2x=2

X=2÷2

X=1

I think the answer is x=1

please help me please and thank u

Answers

Answer:

7 units

Step-by-step explanation:

the line JL starts at -2 and ends at 5. in order to get from -2 to 5 you have to add 7.

the length of JL would be 7 units

A glider begins its flight 7/10 mile above the ground. After 45 minutes, it is 2/5 mile above the ground. Find the change in height of the glider. If it continues to descend at this rate, how long does the entire descent last?
The change in height ___ is
mile(s).

The entire descent lasts ___ hour(s).

Answers

Answer:

Answer One: 3 miles. Answer Two:  105.

Step-by-step explanation:

Answer One: Due to it being 7/10s we have to get 2/5 to a tenth. We multiply 2 and 5 by 2 to get 4/10s subtract 7/10s to 4/10s getting 3/10s which is equal to 45 minutes. So that means 4/10s is equal to an hour. The change in height is 3/10s. Answer Two: It begins it's flight at 7/10s above ground so after 45 minutes it's now at 4/10s due to 45 minutes equaling 3/10s, you need another hour to reach the ground so add 45 minutes to 60 minutes to get 105.

1. Consider the following scenario...
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
E
In a complete sentence, state the correct equation for the scenario.
Identify and define your variable. Then, using the correct vocabulary, and math
process, explain how to accurately solve the problem. Lastly, in a complete sentence
define your answer.

Answers

$16
See the attached picture

Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.

16x0 + 2x2 • y –1

Answers

Answer:

16*x*0+2*x*2*y-1=11

Step-by-step explanation:

ok so first we substitute-

16*2*0+2*2*2+4-1

=0+8+3 (order of operations)

=11

Please help me with these 2 questions please!! Legit answers only! Please!

Answers

Answer:

for the second picture: the answer is 15 hours

Step-by-step explanation:

174 miles is for 3 hours, divide that by 3 to find how many miles per hour it is, 870 divided by 58 will give you the number of hours; 15. hope this helps!

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!

Write an equation of a line in a standard form that passes through points A(-3,4) and B(1,-2) with work

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, the other person is right.

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