The graph of the invertible function f is shown on the grid below
What is the value of f^-1(6)
Answers
Given:
The graph of an invertible function [tex]f[/tex] is given.
To find:
The value of [tex]f^{-1}(-3)[/tex].
Solution:
We know that, if the graph of an invertible function [tex]f[/tex] passes through the point (a,b), then the inverse function [tex]f^{-1}[/tex] passes through the point (b,a).
From the given graph it is clear that the graph of the function [tex]f[/tex] passes through the points [tex](-5,-3)[/tex].
So, the inverse function [tex]f^{-1}[/tex] must be passes through the point [tex](-3,-5)[/tex].
Therefore, the value of inverse function is [tex]-5[/tex] at [tex]x=-3[/tex]. So, the value of [tex]f^{-1}(-3)[/tex] is [tex]-5[/tex].
Answer: -5
Step-by-step explanation:
khan academy
Related Questions
My friend needs some help
Answers
Answer: 6 Gallons per minute
Step-by-step explanation: 42 divided by 7 will get you 6
Answer:
6 gallons/minute
Step-by-step explanation:
42 gallons/7 minutes
= 6 gallons/minute
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answers
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x – 24y = 72
Answers
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form
Find the inverse function. f (x) = 1/x+2
Answers
Answer:
f^-1(x)= 1/(x-2)
Step-by-step explanation:
interchange the variables and solve for y.
Someone help with the second question
Pleaseeeee
Answers
Answer:
Answer shown above.
Have a good day
7/4 x 1 = 7/4 x ?/? = 35/20
Answers
Answer:
5/5
Step-by-step explanation:
7/4 × 5/5 = 35/2
hole this helps
ASAP PLEASE. What is the quotient?
five with an exponet of negative six over five to the power of 3.
5^-6/5^3
a. 1/5^9
b. 1/5^2
c. 5^2
d. 5^9
Answers
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answers
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answers
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
Answers
Hope this helps
There are 5 movies that Bilal wants to see over the break. He only has time to see 3 of the movies. How many different groups of 3 movies are possible if the order in which they are seen is not important? *
Answers
Answer:
I.D.K! Sorry!
Step-by-step explanation:
Sorry! I Wish I New This! :)
please help me with this ! i need to turn this asap !!!
Graph the function f(x) =0.5x2− 2x− 2. Find the axis of symmetry, the vertex, and the y-intercept.
Answers
A.O.S = x=2
Vertex = (2,4)
Y - intercept = (0,-2)
Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?
Answers
Answer:
11Step-by-step explanation:
to understand thisyou need to know about:factor theoremtips and formulas:if f(c)=0 then x-c is a factor of f(x)let's solve:according to the question
2(-1)³+9(-1)+k=0
=>2(-1)+9(-1)+k=0
=>-2-9+k=0
=>-11+k
therefore
k=11
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answers
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
What are the next three terms in the sequence 90, 84, 78,
72, ...?
Answers
Answer:
68, 62, 56
Step-by-step explanation:
Hope this helps :)
Answer:
after 72 its...
Step-by-step explanation:
66 , 60 , 54 ...
you are simply just subtracting 6 from every number.
please helpp don’t know how to solve
Answers
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answers
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
Find the point(s) of intersection, if any, between the circle and line with the equations given
Answers
Answer:
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
so the two points of intersection will be (1,3) and (-4,-2)
hope this helps!
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answers
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Find the measure of the indicated angle. Round to the nearest degree.
21
33
Answers
Answer:
The angle is 50 degrees
Step-by-step explanation:
Sine = Opposite / Hypotenuse
Sine ? = 21 / 33
21 / 33 = 0.6363
Cos-1 of 0.6363 is 50.4788
Round to the nearest degree
50.4788 = 50
sine^- 1 21/33 = θ
Answer: Approximately 0.7 or 70 degrees.
ayudaaaa por favor es urgente
Answers
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell
Answers
Answer:
Step-by-step explanation:
S and L are the number of small cups and large cups, respectively.
S + L = 150
L = 150 - S
1.25S + 2.50L = 265
1.25S + 2.50(150-S) = 265
1.25S - 2.50S + 375 = 265
S = 88
L = 150-S = 62
I dont know how to do this pls help me
Answers
x = 36 Answer
By Pythagoras Theorem
4- 6x= -44
4+ x = -2
Answers
Answer:
the first x=8 and the second x=-6
Step-by-step explanation:
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answers
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
2) It is a subset of a line consisting of two endpoints and all the points in between.
a) Ray b) Line Segment c) Opposite Rays d) Congruent Segments
Answers
Answer:
b.line segment
Step-by-step explanation:
line segment is a piece and or part of a line having two end points
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answers
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Please give me the correct answer.Only answer if you're very good at math.
Answers
Answer:
1st graph
Step-by-step explanation:
this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense
I can tell because at 0 hours, they started out with 24 plants, which means there should be a point at (0,24). I also know that free every hour, they remove 3 plants, so the line should be going down (as the number of pots keeps on getting lower).
Please help me! I need this answered fast!
Answers
Answer:
Number 5 is D
Number 6 is A
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
680 in^2
Step-by-step explanation: (find the surface area)
2(8 x 15 x 1/2) = 120
8 x 14 = 112
17 x 14 = 238
15 x 14 = 210
Answer:
This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest
Step-by-step explanation: