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
jeka57 [31]
3 years ago
6

Pls help; use inverse operations to write the inverse of F(x)= x/4 - 5

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
5 0

Answer:

f^{-1}(x)=4(x+5)

Step-by-step explanation:

So we have the function:

f(x)=\frac{x}{4}-5

To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:

x=\frac{f^{-1}(x)}{4}-5

Add 5 to both sides:

x+5=\frac{f^{-1}(x)}{4}

Multiply both sides by 4:

f^{-1}(x)=4(x+5)

And we're done!

Hope this helps!

Levart [38]3 years ago
4 0

Answer:

\huge \boxed{F^{-1}(x)=4(x+5)}

\rule[225]{225}{2}

Step-by-step explanation:

\displaystyle F(x)= \frac{x}{4} - 5

\displaystyle y= \frac{x}{4} - 5

Switching variables,

\displaystyle x= \frac{y}{4} - 5

Solving for y,

\displaystyle x+5= \frac{y}{4}

4(x+5)=y

\rule[225]{225}{2}

You might be interested in
The slope of a line is undefined, and the x-intercept is -7. What is the equation of the line? x = -7 y = -7 y = -7x
e-lub [12.9K]
Answer is <span>x = -7
...................................................</span>
5 0
3 years ago
Read 2 more answers
Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR
erik [133]

Answer:

392

Step-by-step explanation:

Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.

Extend lines XQ, YR, YS and XP and mark their intersection as A and B.

Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore

  • all angles of the quadrilateral XAYB are right angles
  • all sides of XAYB are congruent and equal to 6 + 8 = 14 units.

Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,

XY^2=XA^2+AY^2\\ \\XY^2=14^2+14^2\\ \\XY^2=196+196\\ \\XY^2=392  

3 0
3 years ago
No picture for this problem but here it is...
Vesnalui [34]

Answer:

The coordinates for X are (4, 8).

Step-by-step explanation:

4 0
2 years ago
The homecoming committee wants to fly an aerial banner over the football game. The banner is 1,280 inches long and 780 inches ta
lord [1]

Answer: 998400 square inches or 6933 1/3 square feet or

770.37 square yards.

Step-by-step explanation:

Multiply 1280×780 for square inches. Divide that amount by 144 to get square feet. Then divide that by 9 to get square yards.

6 0
3 years ago
Read 2 more answers
Help please I don’t understand this problem
Molodets [167]

Answer:

A

Step-by-step explanation:

We know that identity:

cos^2x+sin^2x=1.

From that we have:

cos^2x=1-sin^2x.

So it is:

cos^2x-sin^x=(1-sin^2x)-sin^2x=1-2sin^2x.

And this is A).

B) is not treu because cos^2 is not sin^2x+1

C) is not true because cos^2x-sin^x=1 is false.

D) is not treu because cos^2x is not sin^2x-1

8 0
3 years ago
Other questions:
  • What's 0.06 as a fraction in simplest form
    7·2 answers
  • Factor −1/4 out of −1/2x−5/4y. The factored expression is .
    10·1 answer
  • Apakah kesan kedudukan tersebut terhad
    11·1 answer
  • In 2000, the total number of employees working for
    7·2 answers
  • What is 13/100 in simplest form?
    9·2 answers
  • Find the perimeter of the square. (hint : make one side = to the other side to find y. Remember, you are finding the perimeter)
    13·1 answer
  • PLEASE HELP A rental company charges $75 per hour for a jet ski plus $5 fee for a life jacket. What would the cost be for 2 life
    14·1 answer
  • 36kg in the ratio 1:3:5​
    5·1 answer
  • miss bella's mathematics class consists of 6 sophomores 12 juniors and 10 seniors how many different ways can miss bell create a
    7·1 answer
  • Which words can be used as subjective pronouns? (1 point) O her, us Omine, yours O they, you O his, them​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!