Find the inverse of each function
1. f(x) = 4/(x+2) - 2
2. f(x)= -2x^5 - 3
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Answer:
1. f^-1(x) = 4/(x+2) -2
2. f^-1(x) = (-(x+3)/2)^(1/5)
Step-by-step explanation:
1. As with all "inverse function" problems, solve for y:
x = f(y)
x +2 = 4/(y +2) . . . . add 2
y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)
y = 4/(x+2) -2 . . . . . subtract 2
We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.
f^-1(x) = 4/(x+2) -2
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2. x = f(y)
x +3 = -2y^5 . . . . add 3
-(x +3)/2 = y^5 . . . . . divide by 2
(-(x +3)/2)^(1/5) = y . . . . take the 5th root
f^-1(x) = (-(x +3)/2)^(1/5)
In typeset form, that is ...
[tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]
This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.
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The graphs show the function and inverse are symmetrical about the line y=x, as they should be.
What is a quartic polynomial function with zeros -20, -16, -11, and -9?
Answer:
Step-by-step explanation:
I hope that you don't have to multiply this out. If you do, leave a note. I delete my answer.
y = (x + 20)(x+16)(x + 11)(x + 9)
If you want 100 points plz answer this.
Answer:
It is assumed we need to find the volume and total surface area
Volume is:
V = Al = 1/2ahl = 1/2*2*1*3 = 3 ft³Total surface area is:
S = Pl + 2A= (1 + 2 + 2.2)*3 + 2*(1/2*2*1)= 17.6 ft²Answer:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Can someone pls help with this question
Answer:
Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1
Step-by-step explanation:
1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2
2. 2/1 so run is 1
3. its positive since slope is positve
4. y int is when x is 0 and y has value so y int is 1
5. y=2x+1 since slope and y int
:D
The Smithtown water company uses warm water meters that measure water usage in gallons. They charge $.12 per gallon of water. If Jack's previous meter reading was 45,621 gallons and his present water reading is 48,555 gallons what is the amount of his water bill?
Subtract to find the number of gallons used:
48,555 - 45621 = 2,934 gallons.
Multiply gallons used by price per gallon:
2,934 x 0.12 = $352.08
Write the ratio 1.5:9 in simplest form.
Answer:
1 : 6
Step-by-step explanation:
I'll. ark brainlyest and give a lot of points for answering this right
Answer:
[tex] \displaystyle T'( 2,4)[/tex]
[tex] \displaystyle U'( 1,1)[/tex]
[tex] \displaystyle S' ( 3,2)[/tex]
Step-by-step explanation:
we current vertices of the given triangle
[tex] \displaystyle T( - 2,4)[/tex][tex] \displaystyle U( - 1,1)[/tex][tex] \displaystyle S ( - 3,2)[/tex]remember that,
[tex] \rm\displaystyle(x,y) \xrightarrow{ \rm reflection \: over \: y - axis}( - x,y)[/tex]
so we obtain:
[tex] \rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \: over \: y - axis}T'( 2,4)[/tex]
[tex] \rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \: over \: y - axis}U' ( 1,1)[/tex]
[tex] \rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \: over \: y - axis}S'( 3,2)[/tex]
What are the vertices of angle A’B’C’ if angle ABC is dilated by a scale factor of 2?
Answer:
The answer is A
Step-by-step explanation:
a=(0,10)×2, b =(8,6)×2 c=(4,2)×2
A glass holds 1over6 liter of liquid.How many glasses of liquid are in 4 liters
Answer:
24 glasses
Step-by-step explanation:
If a glass holds 1/6 liters of liquid, that means that 6 of them can hold one liter
1/6 * 6 = 1
and if 6 of them can hold 1 liter, that means 24 of them can hold 4 liters
6 * 4 = 24
Can y’all help me? I would really appreciate it
Answer:
I think the answer is she
A line passes through the point (-4,-20) and has a slope of 3. Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form
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Answer:
y = 3x -8
Step-by-step explanation:
The point-slope form of the equation of a line can be a useful place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +20 = 3(x +4) . . . . with given numbers filled in
y = 3x +12 -20 . . . . eliminate parentheses, subtract 20
y = 3x -8 . . . . . . . . slope-intercept form
A bicycle has a listed price of $516.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary. HELP QUICK!
Answer:
562.23
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
2&7
6&3
Definition:
angles located at opposite positions between the two lines that are intersected by a transversal.
Step-by-step explanation:
Do quadratic functions and linear functions have asymptotes? If so how do you identify them
Answer:
wow thats some hardcore math ur learning
Step-by-step explanation:
Urgent please please help It's due soon!
9514 1404 393
Answer:
money market: $1000stock: $238,500mutual fund: $228,500Step-by-step explanation:
We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.
x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds
0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return
Collecting terms in the second equation gives ...
0.005x -0.065y +16380 = 2720
-x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200
12y -10000 = 2732000 . . . . substitute for x using the first equation
y = 2742000/12 = 228,500 . . . . solve for y
x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation
468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount
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Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.
GIVING 43 POINTS AND BRAINLIEST FOR THE FIRST PERSON THAT ANSWERS AND IS CORRECT!!
Translate the following expression
9 more than a number
A. 9r
B. 9 + w
C. 9÷k
D. 9x
Answer:
Step-by-step explanation:
B
b) Suppose you throw two fair dice. What is the probability of getting an even number on the first and a 5 or 6
on the second die?
Answer:
Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6
a family wants to have two children determine the probability of a family having two girls
What is the probability of the spinner NOT landing
on a vowel? *
1. 0.67
2. 1
3. 0.33
4. 4
5. 0
Answer:
it's a 2/3 chance of landing on it but there are 4 non vowels. so I assume the answer is 4
I need help plsssssssss
HELP AND EXPLAIN PLSS
Answer:
Amount they ate is 6/8 or 3/4 of the pizza
Amount left over is 2/8 or 1/4 of the pizza.
Step-by-step explanation:
your family at 6 out of 8 pieces and simplified thats 3/4 if you divide both by 2
so the pieces left over would be 2 pieces or 2 out of the 8 pieces are left over.
making your fraction 2/8
Now you simplify and you can divided both 2 and 8 by 2
Making your other fraction 1/4
Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i= 1, 2, 3, and 4 respectively.)
Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
a. The distribution of polyunsaturated fat percentages for each of the four regimens must be uniform with equal variances.
b. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with unequal variances.
c. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with equal variances.
d. The distribution of polyunsaturated fat percentages for each of the four regimens must be binomial with unequal variances.
Answer:
c. The distribution of polyunsaturated fat percentages for each of the four regimes must be normal with equal variance's.
Step-by-step explanation:
Single factor ANOVA is used for testing the null hypothesis with same mean of several population. The alternative hypothesis is set against the null hypothesis in order to identify whether the null statement is correct or it will be rejected.
plz help me with the problem below
Answer:
10
Step-by-step explanation:
To multiply a decimal number by 102, move the decimal point
Answer:
two digits to the right
Step-by-step explanation:
When multiplying a decimal by 102 you would need to move the decimal point two digits to the right. This is because we are multiplying by a hundred number. When multiplying any whole positive number by a decimal, we need to move the decimal point to the right one less than the amount of digits that the positive whole number has. For example, a thousand (1000) has 4 digits so we move the decimal point of the product to the right by 3.
Examples:
102 * 0.02 = 2.04
1000 * 0.02 = 20
10000 * 0.02 = 200
If UV = 21 and UX = 13, what Is UW?
Answer:
17
Step-by-step explanation:
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter = 2 x 2 x π = 4π in
LA = 4π x 5 = 20π in^2
Base area = 2^2 x π = 4π in^2
SA = 2 x 4π + 20π = 28π in^2
V = 4π x 5 = 20π in^3
PLZ HELP ASAP
Ps I accidently clicked on a choice
Answer:
B or top right answer or second answer is correct.
1. Solve the inequality. x/8 >4
Answer:
X > 32
Step-by-step explanation:
Brainliest?
PLEASE HELP ME! I AM SO CONFUSED
Answer:
b) 13.5
Step-by-step explanation:
Use the trapezoid formula - area.
A = a+b /2 h
=> 4+5/2 · 3 = 13.5
hope this helps and is right :)
Find the radius of a circle with an area of 1,124 sq feet.