1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Norma-Jean [14]
3 years ago
5

F ( x ) = ( x - 2 ) ^3

Mathematics
1 answer:
g100num [7]3 years ago
7 0

Answer:

x

Step-by-step explanation:

f(f^-1(x)) = x

Always!

f(x) = (x - 2)³

y^⅓ = x - 2

x = y^⅓ + 2

f^-1(x) = x^⅓ + 2

f(f^-1(x)) = f(x^⅓ + 2)

= (x^⅓ + 2 - 2)³

= (x^⅓)³

= x

You might be interested in
-3 (4-2x) = 4 - 2x I can't seen to get this one
polet [3.4K]
189sjsidnndnrhejwnwnenfnf
5 0
3 years ago
Read 2 more answers
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is r if C C' = 5 and d' = 20?
PtichkaEL [24]

Answer:

The value of radius r  is 50

Step-by-step explanation:

Given as :

The measure of two circles as

Circumference = c                          Circumference = c'                          

Diameter = d                                    Diameter = d'    

Radius = r                                          Radius = r'

And

\frac{c}{c'} = 5

d' = 20

∴  circumference of circle = 2\times \Pi \times r  = \Pi \times d

Or, \frac{c}{c'} = \frac{2\pi r }{\pi d'}

Or,  5 = \frac{2r}{d'}

Or,  5 =  \frac{2r}{20}

∴  2 × r = 5 × 20

I.e       r = 50

Hence The value of radius r  is 50  Answer

7 0
4 years ago
Read 2 more answers
Question 1,2, and 3 how do i factor those? Can you show the work and explain how?
DiKsa [7]

1: 3n^{2}+9n+6

notice that each part is divisible by 3

3n^{2} ÷ 3 = n^{2}

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes 3(n^{2} +3n+2)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

3(n^{2} +2n+n+2)

Now that it's rewritten, you can factor out n + 2 from the equation.

<u><em>the answer is </em></u>

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is n^{2} +2n+n+2 and then each of those by 3, which is 3n^{2} +6n+3n+6 or 3n^{2}+9n+6, our origional equation

2: 28+x^{2} -11x

So I rewrote this as x^{2} -11x+28 (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

x^{2} -4x-7x+28

now we can factor out x from the first expression and -7 from the second

x(x-4)-7(x-4)

and lastly you factor out x-4,

<u><em>which would give you</em></u>

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to x^{2} -11x+28

3: 9x^{2} -12x+4

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as 3^{2} and 4 as 2^{2}, the equation becomes

3^{2} x^{2} -12x+2^{2}

now that 3^{2} x^{2} is ugly so it can be turned into (3x)^{2}

and -12x can be rewritten as -2*3x*2

so our equation now looks like (3x)^2-2*3x*2+2^{2}

There's a rule that says a^{2} -2ab+b^{2} = (a-b)^{2}

In our case, a=3x and b=2

<u><em>so the final answer is</em></u>

(3x-2)^2

5 0
3 years ago
What is the linear function equation represented by the graph?
ioda

Answer:

y = (3/5)x + 3

Step-by-step explanation:

You can see immediately that the y-intercept is (0, 3).

As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3.  Thus, the slope of this line is m = rise / run = 3/5.

Starting with the generic y = mx + b, we get y = (3/5)x + 3.

4 0
3 years ago
Read 2 more answers
Six husbands and their wives are randomly seated around a round table. (the chairs are numbered 1-12, and the 12 people draw num
iragen [17]
N=3 if I did m math right
7 0
3 years ago
Other questions:
  • Carmen has two books of 20 stamps and four books of 10 stamps how many stamps does Carmen have?
    7·1 answer
  • Solve the equation 5x - 8 &lt; -18
    5·1 answer
  • In ∆ABC, m∠B=α. Find the measure of the angle, in degrees, between the altitudes dropped from the vertices A and C.
    7·1 answer
  • The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
    10·1 answer
  • 4/5 , 0.66 , 0.86 , 84% least to greatest
    7·1 answer
  • Which stamens is correct ?
    11·1 answer
  • ANSWER ASAPPP PLSSS. ILL MARK BRAINLIEST TOO
    15·2 answers
  • A construction worker fills a mold with concrete. This solid figure represents the mold.
    10·1 answer
  • 3x 6<br> — = —<br> 3 3<br><br> X = ____
    14·1 answer
  • PLSSSS HELLLPPPPPPP How much would it cost to buy 3.4 pounds of Bartlett pears and 2.1 pounds of Concorde pears? Concorde pears
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!