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
sp2606 [1]
2 years ago
8

Find a formula for the inverse of the function: f(x) = 9–6/x^2, x>0. f^-1(x)=

Mathematics
1 answer:
QveST [7]2 years ago
5 0

9514 1404 393

Answer:

  f^-1(x) = √(6/(9 -x))

Step-by-step explanation:

The inverse function is the solution to ...

  x = f(y)

  x = 9 -6/y^2

  x +6/y^2 = 9 . . . . . add 6/y^2

  6/y^2 = 9 -x . . . . . subtract x

  6/(9 -x) = y^2 . . . . . multiply by y^2/(9 -x)

  y = √(6/(9 -x)) . . . . take the square root

Then the inverse function can be written as ...

  f^-1(x) = √(6/(9 -x)) . . . . . . x < 9

You might be interested in
Is -900 squared rational or irrational explain
elixir [45]

Answer:

(-900)^2=810000

As this value is definite (has an end), it would be considered rational.

4 0
3 years ago
Solve for “x” -10 = -x^2 + 2x - 6
Olenka [21]
X equals to x = 1 - <span>√5</span>

5 0
4 years ago
Radium-226 is a metal with a half-life of 1600 years. If you start with 1 kilogram of radium-226, how much will remain after 20,
erica [24]
Ending Amount = Beginning Amount / 2^n 
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives

Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg / <span> <span> <span> 5,792.6
</span></span></span>Ending Amount = <span> <span> <span> 0.00017263 kilograms = </span></span></span><span>0.17263 grams


</span>
6 0
4 years ago
The value of 4a( a - 3 ) is :
liubo4ka [24]

Answer:

Its -12 if a is meant to be multiplied

3 0
3 years ago
If a alien lived for 4 light years away and came to earth in how long is that
ollegr [7]

Answer:

268,447,489 years

Step-by-step explanation:

We can use dimensional analysis to solve this problem.

There are approximately 5.879 x 10^12 miles/ light year

Therefore, 4 Ly (5.879 x 10^12 miles / Ly) = 2.3516*10^13 miles.

We are given a speed of 10 miles/hr

So, 2.3516 x 10^13 miles (1 hr/10 mi)(1 day/24 hrs)(1 yr/365 days) = 268447488 years or 2.684 x 10^8 years.

3 0
3 years ago
Other questions:
  • How do I express the area of a square as a monomial
    15·1 answer
  • If I have a loan of £650 and pay interest of 4% for one year. A) how much interest do I pay? B)how much do I pay back in total?
    9·1 answer
  • daniel is buying gas for his car gas costs 2.50 per gallon daniel typically spends around 30 to fill his gas tank, with a varian
    7·1 answer
  • Function Notation answers
    6·1 answer
  • Select all the statements that are true about the equation y=-2/3x+5
    5·1 answer
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
    7·1 answer
  • Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are multiples of 4 or 7
    7·1 answer
  • Identify the factors of the terms of the expression.
    5·1 answer
  • Each bottle In a 6-pack contains 1 pint of water. The water will be poured into glasses that hold 12 fluid ounces. How many glas
    6·1 answer
  • 25 POINTS PLEASE HELP ME!! Sam conjectures that for x ≤ - 2, it is true that x^5 + 7 &gt; x^3. Is Sam’s conjecture correct? Why
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!