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
SOVA2 [1]
3 years ago
7

Find the inverse of each function. f(n)=n+4/2

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Step-by-step explanation:

f(n) =  \frac{ n +4}{2}  \\ let \: f(n)  = y  \implies \: n =  {f}^{ - 1}(y) \\  \therefore \: y = \frac{ n +4}{2}   \\  \\ \therefore \:2 y = n +4 \\  \\ \therefore \:2 y  - 4= n  \\ \therefore \:n  = 2y - 4 \\  \\ \therefore \:  {f}^{ - 1}(y)   = 2y - 4 \\  \\  \red{ \boxed{\bold{\therefore \:  {f}^{ - 1}(n)   = 2n- 4} }}

(Replacing y by n)

You might be interested in
The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
2 years ago
Evaluate x + 8 when x = 7<br><br> a. 15<br><br> b. 1<br><br> c. -1<br><br> d. 56
Tems11 [23]

Answer:

a) 15

Step-by-step explanation:

x+8

substitute x value in

7+8

=15

8 0
3 years ago
Read 2 more answers
Nth term of the sequences....?<br>(a) 1, 4, 9, 16, 25 <br>(b) 3, 6, 11, 18, 27
denis-greek [22]
A. 36 as the numbers are adding by the next odd integer. An example is: 1–>4 is +3, 4–>9 is +5, 9–>16 is +7, and so on. This rule applies to both of our sequences.
b. 38.
Hope this helps :) brainly if possible so others can see.
7 0
3 years ago
Read 2 more answers
32/160 as a simplified fraction someone help coz I'm clueless with fractions
omeli [17]

32÷2/160÷2

=16÷2/80÷2

8÷2/40÷2

4÷2/20÷2

2÷2/10÷2

1/5

4 0
3 years ago
Read 2 more answers
Find the slope of this table.
trasher [3.6K]

Answer:

-6/2 = Slope = - 3

Step-by-step explanation: Hope this helps!

6 0
3 years ago
Other questions:
  • Chelsea has a beginning balance of $715 in her checking account. She writes two checks for $320 and $640. She has a deposit of $
    9·2 answers
  • Plzzzzzzzzz helppppp meeeee aaaaassssaaappp​
    6·1 answer
  • Simplify : 3/4 (1/2x - 12) + 4/5
    10·2 answers
  • 100.53 rounded to nearest tenth
    5·2 answers
  • Graph the system of constraints and find the value of x and y that maximize the objective function.. x&gt;0. y&gt;0. y&lt;1/5x+2
    13·2 answers
  • Max estimate the link of his garden to be 25 feet do you estimate it to be 70 if they actually is 19 feet which is a better esti
    14·1 answer
  • Graph the function<br> x+y=6<br><br> -Can someone help and tell me how would i graph this?
    9·1 answer
  • The letters in the word "PROBABILITY" were cut up and placed into a bag. A letter will be randomly selected
    9·2 answers
  • Does anyone know the answer to this? i’ll mark brainliest
    15·1 answer
  • Please help with my math
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!