Exchanging x and y and isolating y, it is found that the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
The function given is:
[tex]g(x) = y = \frac{1}{x - 1}[/tex]
To find the inverse function, we exchange x and y and isolate y, hence:
[tex]x = \frac{1}{y - 1}[/tex]
[tex]x(y - 1) = 1[/tex]
[tex]xy - x = 1[/tex]
[tex]xy = 1 + x[/tex]
[tex]y = \frac{1 + x}{x}[/tex]
Hence, the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
You can learn more about inverse functions at https://brainly.com/question/16485117
Nikita began with the figure shown.
A.
с
B
She completed the following actions to construct the angle bisector of ABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of 2ABC.
Step 3: Then, she placed the compass on point and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.
Answer:
no
Step-by-step explanation:
Answer:
Step three
Step-by-step explanation:
She placed the point on C when it was supposed to be on E
Plz help with this question.
a] x/5=3
x=15
b] x/2=8.5
x=17
Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
(compound interest Formula)
Answer:
$262.48Step-by-step explanation:
Given:
Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 yearFind the total amount in 1 year:
[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]
Find the value of x
6.1 - angles of polygons
Answer:
x = 46°
Step-by-step explanation:
The sum of interior angles = (n-2) × 180°
= (5-2) × 180°
= 540°
2x+3x+3x-4+3x+x-8 = 540°
12x = 552°
x = 46°
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
Can someone help me with this please?
24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?
Answer:
8% annual
Step-by-step explanation:
first find the rate of 1 year. 960/3 = 320.
then find what % of 4,000, 320 is.
8%
what is 8 1/5 as a improper fraction
Answer:
41/5
Step-by-step explanation:
So the answer is that 8 1/5 as a decimal is 8.2.
We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.
2x+5=10-3x please help
You have 6 large candy bars you want to split each one into thirds.how many candy bar pieces will you then have
Answer:
18 lol
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
because you are getting a higher number of candy bars you can mutiply 6*3 to get 18
or you can do 3+3+3+3+3+3 or 6+6+6
PLZZ HELP ASAP
Order these numbers from least to greatest
Answer:
1.4722, 2.901, 2.9, 2.91
Step-by-step explanation:
Sponges are sold for 20 dollars. How many sponges per dollar.
Answer:
$1 or $1.25
Step-by-step explanation:
Not sure. Maybe
how do you expand 5(2x - 1)?
Hey there!
5(2x - 1)
DISTRIBUTE 5 WITHIN THE PARENTHESES
= 5(2x) + 5(-1)
= 10x - 5
Therefore, your answer is: 10x - 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
PLEASE I NEED HELP RN
use the elimination method to solve. -7x+y=-19 -2x+3y=-19
Answer:
(x, y) = (2, -5)
Step-by-step explanation:
The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...
(-2x +3y) -3(-7x +y) = (-19) -3(-19)
-2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses
19x = 38 . . . . . . . . . simplify
x = 2 . . . . . . . divide by 19
-7(2) +y = -19 . . . . . substitute for x in the first equation
y = -5 . . . . . . add 14
The solution is (x, y) = (2, -5).
Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar. Which equation represents how many granola bars Kristen ate.
Answer:
3/4 of a bar.
Step-by-step explanation:
Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.
Need help!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\mathfrak{( \frac { 6 x } { y } ) ( \frac { y } { 3 x - 3 } ) } [/tex]
[tex]\mathfrak{ \frac{6xy}{y\left(3x-3\right)} } [/tex]
[tex]\mathfrak{ \frac{6x}{3x-3} } [/tex][tex]\mathfrak{ \frac{6x}{3\left(x-1\right)} } [/tex]
[tex]=\boxed{\mathfrak{\frac{2x}{x-1} } }[/tex]
☆ Option 3 is correct.
[tex]\mathbb{MIREU} [/tex]
how to find the domain and range of a piecewise function without a graph
Answer:
Step-by-step explanation:
The x component of a function is domain and the y component is range of a function . For example - R1={(3,4),(5,6),(7,9)} The domain of R1 ={3,5,7} The range of R1={4,6,9}
Suppose f(x) = x. Find the graph of f(x) - 5
Answer:
it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)
please help 31 pts and brainlist if you give me a step by step explanation on how to do this
Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;
Angle ADE = CDF Hence proved.
Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90
To Find: TO prove <ADE = <CDF
Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.
=> <EDA = <FDC |Vertically opposite angles
<DEA = <CFD = 90 |Given
Also, ED = FD |Given
Hence, by ASA (Angle Side Angle)
Rule of congruency two triangles; <ADE = <CDF
Hence Proved.
hey guys can you help me with this question? 20 points :)
Answer:
About 7 units
Step-by-step explanation:
About 7 units would be correct. 1 + 6 is 7
however 6 isn’t an option so the next closet thing is 7
HOPE THIS HELPED :3
Answer pretty sure that’s 7
Step-by-step explanation:
Which expression are equivalent to -1+12x^2+x
Answer:
(3x+1)(4x-1)
Step-by-step explanation:
you can reorder the terms to make it less confusing to 12x^2+x-1
write x as a different 12x^2+4x-3x-1
factor out 4x 4x(3x+1)-3x-1
factor out the negative sign 4x(3x+1)-(3x+1)
factor out 3x+1
(3x+1)(4x-1)
7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.
Answer:
30 hours 48 minutes
Step-by-step explanation:
Using the relationship
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour
Then
time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes
Answer:
30.8 or 30 hours and 48 mins
Step-by-step explanation:
375 km > 15 Hours
Divide 375 and 15, equals to 25.
So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)
Now, divide 770 and 25 to get the time taken to travel 770km.
And the answer is 30.8 hrs or... 30hrs and 48mins
Welcome ;)
Someone help me please
Answer:
Step-by-step explanation:
any minus temperature is < 7oC
0 is < 7oC
1 ... 6 is < 7oC
help. please..
with steps.
Answer:
Option 2
Step-by-step explanation:
The account balance multiplier for the compound interest option is ...
(1 +r)^t = 1.05^8 ≈ 1.477455
The account balance multiplier for the simple interest option is ...
(1 +rt) = 1 +0.06·8 = 1.48
Jadwa should choose option 2 for this investment. It will earn about £5.09 more in interest over the 8-year period.
_____
£2000 · (1.48 -1.477455) ≈ £5.09
__
In the above formulas, r is the interest rate, and t is the number of years.
30 POINTS!!! A catfish weights about 0.2 pound and its weight increases by about 15% each week. Write an exponential equation that represents the weight of the catfish after t weeks.
Answer:
0.30 15 times 2 easy 30 and this percent so 0.30
Step-by-step explanation:
5x-15y=-20, 5x-4y=-9 systems of equations (elimination)
Answer:
(- 1, 1 )
Step-by-step explanation:
5x - 15y = - 20 → (1)
5x - 4y = - 9 → (2)
Multiplying (2) by - 1 and adding to (1) will eliminate the x- term
- 5x + 4y = 9 → (3)
Add (1) and (3) term by term to eliminate x
0 - 11y = - 11
- 11y = - 11 ( divide both sides by - 11 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
5x - 15(1) = - 20
5x - 15 = - 20 ( add 15 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
solution is (- 1, 1 )
if it takes 10 people working at the same rate 5 hours to pick 300 apples, how many hours would it take 1 person to pick 300 apples
Answer:
50 hours
Step-by-step explanation:
10 times 5 is 50 so the answer is 50 hours
Please help me on this question!
-8 to 8
Step-by-step explanation:
f(x) is the same as y when discussing functions. Therefore we look for the places where the line is above or touching the x axis
What is the Equation of the line? slope: undefined; (7,-9)
Answer:
x = 7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
undefined slope means that there's a vertical line through the x-axis.
And since the point is at (7,-9) you only need to focus on the value of x, which in this case, is 7.
What’s the domain and range for this? And is it a function? Yes or No
You are given the domain and range ( the numbers in each oval):
If There is more than one arrow connected to a number, that number is listed the same amount
Domain (-4,0,6,6)
Range (12,18,18,40)
To be a function each input value ( Domain) can only have one output value (range)
Because the 6 has two different outputs ( 12, 18) this is not a function.
Answer:
The input 6 (domain) leads to two outputs thus it is not a function.
Step-by-step explanation: