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
gregori [183]
3 years ago
11

Let f(x) = x2 − 81. Find f−1(x).

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0
F(x) = x² - 81

Finding f⁻¹(x) the inverse function

Let y = f(x) and solve for x.

y = x² - 81

y + 81 = x²

x² = y + 81

x = √(y + 81)

Recall f(x) = y, that means x = f⁻¹(y)

x = √(y + 81)

f⁻¹(y) = √(y + 81)

Therefore   f⁻¹(x) = √(x + 81)
You might be interested in
Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use the number line to f
larisa [96]

Answer: Total cost is $1.75

Explanation:

Since we have given that

Number of postcards bought by Doug's family= 7

Cost of each postcard including tax = $0.25

Total cost is given by

7\times 0.25=\$1.75

Now, we want to show this in number line :

On the number line put all the number with a difference of 0.25 and run the number line seven times and we get the answer.

Each step is of length 0.25 and there are 7 jumps to reach required answer.

So, after 7 jumps we reach at 1.75 which is the required answer.

Hence total cost is $1.75

3 0
2 years ago
How much simple interest is earned on an investment of 1,250 if the money is invested for 5 years at an annual interest rate of
Alekssandra [29.7K]
<h3>Answer:  $281.25</h3>

Work Shown:

i = P*r*t

i = 1250*0.045*5

i = 281.25

8 0
2 years ago
Solve 3x2 + 4x = −5.
Alla [95]
Move the -5 over by adding 5 to both sides
3x^2+4x+5=0
must use quadratic formula

for an equation in the form
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}

a=3
b=4
c=5

x=\frac{-4+/- \sqrt{4^2-4(3)(5)} }{2(3)}
x=\frac{-4+/- \sqrt{16-60} }{6}
x=\frac{-4+/- \sqrt{-44} }{6}
x=\frac{-4+/- 2\sqrt{-11} }{6}
remember that√-1=i
x=\frac{-4+/- 2i\sqrt{-11} }{6}
x=\frac{-2+/- i\sqrt{-11} }{3}

x=\frac{-2+ i\sqrt{-11} }{3} or x=\frac{-2- i\sqrt{-11} }{3}


4 0
3 years ago
Find the great is perfect square of 244
IgorLugansk [536]
I hope this helps you



244=4.61


2square roof 61
7 0
3 years ago
I will cash app u $20 dollars show your work thank u
kolezko [41]

Answer:

hmm.. very blurry repost please

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Given f(x) = 3x + 1, solve for x when f(x) = 7.
    5·1 answer
  • 4/6, 7/12, 5/10
    12·1 answer
  • An airplane can seat up to 175 passengers the airline has already sold 87 tickets
    13·2 answers
  • What is m over pi=7.3? Thx
    13·1 answer
  • I need help with this
    5·1 answer
  • Find n for each equation. Use menta<br>16. 0.0027 x n = 0.27​
    7·1 answer
  • Please answer this question fast in 2 minutes
    7·2 answers
  • Add 11/6x and 2/13x<br><br> Add 11/6x and 2/13x
    12·1 answer
  • Find the length of MN
    11·1 answer
  • Solve the following problem.<br><br>1/6÷3/4=
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!