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
Viktor [21]
3 years ago
13

Find the inverse of the function. f(x)=3 root x/9 -4

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Step-by-step explanation:

Explanation:

y

=

√

x

+

1

+

3

x

=

√

y

+

1

+

3

x

−

3

=

√

y

+

1

(

x

−

3

)

2

=

(

√

y

+

1

)

2

x

2

−

6

x

+

9

=

y

+

1

x

2

−

6

x

+

8

=

y

This is a quadratic, therefore it is a function.

Hopefully this helps!

You might be interested in
Did I do this right? (Accounting)
levacccp [35]
Yes you did, congratulations ;-)
4 0
3 years ago
2x^3-x^2-3x=210<br> the answer is 5 but I want to know why.
mel-nik [20]

Answer:

x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}

Step-by-step explanation:

1) Move all terms to one side.

2x^{3} -x^{2} -3x-210=0

2) Factor 2{x}^{3}-{x}^{2}-3x-210 using Polynomial Division.

1 -  Factor the following.

2x^{3} -x^{2} -3x-210

2 -  First, find all factors of the constant term 210.

1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

2*1^{3} -1^{2} -3*1-210=-212

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

2(-1)^{3} -(-1)^{2} -3*-1-210=-210

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

2*2^{3} -2^{2} -3*2-210=-204

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264

Substitute 5 into x. Since the result is 0, x-5 is a factor..

2\times {5}^{3}-{5}^{2}-3\times 5-210 =0

------------------------------------------------------------------------------------------

⇒ x-5

4)  Polynomial Division: Divide 2{x}^{3}-{x}^{2}-3x-210  by x-5.

                                               2x^{2}                       9x                      42

                                      -------------------------------------------------------------------------

x-5                               |    2x^{3}                          -x^{2}                     -3x     -210

                                           2x^{3}                             -10x^{2}

                                        -----------------------------------------------------------------------

                                                                             9x^{2}                -3x       -210

                                     --------------------------------------------------------------------------

                                                                          42x                              -210

                                                                         42x                               -210

                                      -------------------------------------------------------------------------

5)  Rewrite the expression using the above.

2x^2+9x+42

(2x^2+9x+42)(x-5)=0

3) Solve for x.

x=5

4)  Use the Quadratic Formula.

1 - In general, given a{x}^{2}+bx+c=0 , there exists two solutions where:

x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}

2 -  In this case, a=2,b=9 and c = 42.

x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}

3 - Simplify.

x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}

5) Collect all solutions from the previous steps.

x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}

4 0
2 years ago
Read 2 more answers
Please Help! The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0? (Picture of graph included)
qwelly [4]

Answer:

(7, 0), (-8, 0), (0, 0)

Step-by-step explanation:

y = f(x) = 0

the real solutions are the ones that cross the x-axis because when a point is on the x-axis, its y coordinate will be 0.

=> (7, 0), (-8, 0), (0, 0)

6 0
3 years ago
1) 7+a=15<br><br><br><br> 2) 23=d+44<br><br><br><br> 3) 28=n-14<br><br><br><br> 4) T-22=-31
Romashka [77]
Hi, I'd be glad to help. 

1) a = 8

2) d = (-21) 

3) n = 42

4) t = (-9)
6 0
3 years ago
Read 2 more answers
338.08=8(0.07m+28.90+.30(28.90)
AlladinOne [14]

Answer:

m= - 396.253089

Step-by-step explanation:

hope this helps

5 0
2 years ago
Other questions:
  • Which triangle always has 3 sides the same length and all angles the same measure? A. equilateral B. acute scalene C. obtuse iso
    8·1 answer
  • Mark has no basketballs. cat has eight basketballs and Sophia has six balls how many do they have all together?
    14·1 answer
  • I'm having trouble with this
    15·1 answer
  • John has a bag of candles ,the weight of the bag is 3.2 lb what is the weight of the bag in ounces
    11·2 answers
  • the volume of a rectangular prism can be computed using the formula V=lwh what is the width of a prism that has a volume of 240
    15·1 answer
  • A company is billed $1,850 with a cash discount of 5% offered for payment within ten days. How much could it save?​
    15·2 answers
  • Suppose that the probability that your mail is delivered before 2 pm. 90. What is the probability that your mail will be deliver
    6·2 answers
  • Answer these two questions pleaseeee
    9·1 answer
  • Find the area of the figure below. Round your answer to one decimal place.
    6·1 answer
  • SOMEONE PLS HELP will mark brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!