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
user100 [1]
3 years ago
11

Which function below is the inverse of f(x) = The quantity of three x plus five, over seven?

Mathematics
2 answers:
Nastasia [14]3 years ago
5 0
Given function: f(x) = (3x+5)/7

y = f(x) so it's the same as y = (3x+5)/7

Swap every copy of x and y to get x = (3y+5)/7

Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3

So the inverse function is f^(-1)(x) = (7x-5)/3

Answer is choice A


8090 [49]3 years ago
4 0

Answer:

Option A. f−1(x) = The quantity of seven x minus five, over three

Step-by-step explanation:

we know that

The given function is equal to

f(x) = (3x+5)/7

Let

y=f(x)

y= (3x+5)/7

step 1

Exchange the variables x for y and y for x

x= (3y+5)/7

step 2

Isolate the variable y

7x= (3y+5)

3y=7x-5

y=(7x-5)/3

Let

f^{-1}(x)=y

f^{-1}(x)=(7x-5)/3

You might be interested in
Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equatio
Alona [7]

Answer:

 x= 623/7      x =89              89 pages every night

Step-by-step explanation:

A week has 7 days

She reads 623 pages in one week(623 in 7 days)

5 0
3 years ago
X (dy/dx) = (y-1/y+1)-y
notsponge [240]
F'( \frac{y-1}{y+1})-y=
f'( \frac{y-1}{y+1})-f'(y) [/tex]=
\frac{f'(y-1)(y+1)-f'(y+1)(y-1)}{(y+1)^2} -1=
\frac{(f'(y)-f'(1))(y+1)-(f'(y)+f'(1))(y-1)}{(y+1)^2} -1=
\frac{(1-0)(y+1)-(1-0)(y-1)}{(y+1)^2} -1=
\frac{(1)(y+1)-(1)(y-1)}{(y+1)^2} -1=
\frac{(y+1)-(y-1)}{(y+1)^2} -1=
\frac{y+1-y+1}{(y+1)^2} -1=
\frac{2}{(y+1)^2} -1


8 0
3 years ago
Someone help me ( view picture below )
oksano4ka [1.4K]

Answer:

D. 13

Step-by-step explanation:

x = 5

2 x 5 + 3 = 13

5 + 8 = 13

meaning the side length has to be 13, also.

5 0
3 years ago
Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)
Alex Ar [27]

Answer:

(x+2,y+4)...........

4 0
3 years ago
Read 2 more answers
Help me please!!!!!!!
yawa3891 [41]
The answer would be B
7 0
3 years ago
Other questions:
  • How many girls are in a group that has 16 boys?
    11·1 answer
  • ABC is similar to JKL
    10·2 answers
  • Lucy has some pennies and some nickels. She has a maximum of 15 coins worth a minimum of $0.47combined.If lucky has 6.9999999999
    12·1 answer
  • Which of the following is a list of all the factors of 24? A. 1, 2, 3, 4, 5, 6, 8, 12, 24 B. 1, 2, 3, 4, 6, 8, 12, 24 C. 2 × 2 ×
    6·1 answer
  • What is the approximate solution of this system of equations?
    5·2 answers
  • Determine whether each of these functions from {a,b,c,d} to itself is one-to-one. a) f(a) = b, f(b) = a, f(c) = c, f(d) = d. b)
    6·1 answer
  • 3. Find the slope the line that contains the points (1,9) and (-5,8)
    8·2 answers
  • It is estimated that t months from now, the population of a certain town will be changing at the rate of 4+ 5t^2/3 people per mo
    11·2 answers
  • Which angle is congruent to B
    10·1 answer
  • Probability please answer‍♀️ Helppp please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!