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
skelet666 [1.2K]
2 years ago
15

Find an equation for the inverse of the following relation.

Mathematics
1 answer:
Lady_Fox [76]2 years ago
7 0

Answer:

f^{-1}(x) = \frac{3x-15}{2}

Step-by-step explanation:

Given

y = \frac{2}{3} x + 5

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

\frac{3y-15}{2} = x

Replace x by f^{-1} (x) and y by x, thus

f^{-1} (x) = \frac{3x-15}{2}

You might be interested in
At the banquet 450 people had chicken and 150 had pasta. What percent of people has pasta?
Liono4ka [1.6K]

25 percent of people had pasta.

First add 450 and 150 (which equals 600)

Next divide 600 by 150 (which equals 4)

Which means 150 is a fourth of six hundred, and a fourth is 25 percent.

Which leads to my answer of 25 percent

5 0
2 years ago
F(x)=4x2+6 what is the answer
Tanya [424]
The answer is 14 even
3 0
3 years ago
Sarah received a gift in a rectangular box with a volume of 240 in3. If the base of the box was 20 in2, how tall was the box?
Murrr4er [49]
V = l * w * h
240 = 20* h
divide both sides by 20
12 = h
height = 12 inches
8 0
2 years ago
Read 2 more answers
The measures of ∠x and ∠y are equal. Which is the value of m?
morpeh [17]
There is no way to tell because there is no value for x and y. However just looking at the picture, I’m guessing m is around 45 degrees.
4 0
3 years ago
Read 2 more answers
What’s the answerrr..........
Afina-wow [57]

Answer:

D.90

the answer is 90 because it only flips once

8 0
2 years ago
Other questions:
  • It rained r inches on Saturday. On Sunday it rained 0.15 inches less than twice Saturday’s amount.
    13·2 answers
  • Linda purchased a used vehicle that depreciates under a straight line method. The initial value of the car is $7000, and the sal
    8·2 answers
  • Wha is the volume (ml) of 0.23 kg of pure water
    13·2 answers
  • Does 3 to the 2 power plus 3 to the 3 power equal 3 to the 5 power? <br><br> Please Explain!
    10·1 answer
  • A boardwalk is to be erected along an ocean beach. The specifications for the boardwalk require a width of at least 155 cm., but
    6·1 answer
  • Plane ABC and plane BCE______be the same plane. A.May B.Must C.Cannot
    14·1 answer
  • Pls help !!! Thank you
    14·1 answer
  • A vendor bought 80 pineapples ₱18.50 each. Three pineapples got rotten, but then he sold the rest at ₱25.00 each. how much did h
    12·1 answer
  • Kevin said that if the index of a radical is even and the radicand is positive, then
    5·1 answer
  • Martina is building a fence around her garden. For every 4 feet of fencing, the cost is $32.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!