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
wariber [46]
3 years ago
6

Find the inverse of the function. f(x) = 7x + 2

Mathematics
1 answer:
solmaris [256]3 years ago
3 0
F ( x ) = 7 x + 2
y = 7 x + 2
- 7 x = - y + 2  /*(-1)
7 x = y - 2   / : 7
x = y/7 - 2/7 = ( y - 2 ) / 7
The inverse of the function is:
f^(-1) ( x ) = ( x - 2 ) /7 

You might be interested in
Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.
dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:  

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)  

Formula used :  

→Mid point of two points- (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

→Slope of two points - \frac{y_2-y_1}{x_2-x_1})

→Perpendicular of a line = \frac{-1}{slope of line})

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB =(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)

Slope of AB =\frac{-3-3}{-4-2}=1

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = -1  

Equation of AB with slope -1 and the coordinates (-1,0) is,  

(y – 0) = -1(x – (-1))  

y+x=-1………………(1)  

Similarly, for AC  

Mid point of AC = (\frac{2+2}{2},\frac{3-3}{2})=(2,0)

Slope of AC = \frac{-3-3}{2-2}=\frac{-6}{0}  

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = 0  

Equation of AC with slope 0 and the coordinates (2,0) is,  

(y – 0) = 0(x – 2)  

y=0 ………………(2)  

By solving equation (1) and (2),  

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1  

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB =(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)

Slope of AB =\frac{-3-3}{-4-2}=1

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of CF = -1  

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF  

(y – 0) = -1(x – (-1))  

y+x=-1………………(3)  

Similarly, mid point of BC =(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)

Slope of AB =\frac{-3+3}{-4-2}=0

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))  

y+3=0

y=-3………………(4)  

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)


7 0
3 years ago
Write the numbers in order from least to greatest. -7, -6.5, -6.2, 0, -4.5
algol13

Answer: -7, -6.5, -6.2, -4.5, 0

I hope this helps, stay safe, and have a great rest of your day. :)

7 0
3 years ago
Read 2 more answers
Marvin is comparing two different music websites. Website A charges $10 per month for a subscription and $0.25 per song. Website
Alecsey [184]
Website A:
c = 10 + 0.25 s 
where c is the cost and s is the number of songs.
Website B:
c = 0.75 s
The equation ( answer ):
10 + 0.25 s = 0.75 s
We can solve this equation:
10 = 0.5 s
s = 10 : 0.5
s = 20 ( Marvin would have to buy 20 songs to to make the costs equal )
5 0
3 years ago
Negative one fourths times negative six elevenths
Ipatiy [6.2K]

You multiply fractions simply by multiplying numerators and denominators with each other:

-\dfrac{1}{4} \times \left(-\dfrac{6}{11}\right) = \dfrac{1 \times 6}{4 \times 11} = \dfrac{6}{44} = \dfrac{3}{22}

3 0
3 years ago
The difference between 8 and a number is 5.
pav-90 [236]

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope intercept equation of the line (0,4) and (2.-2)
    13·2 answers
  • Which of the interpretations for the given expression is correct? the sum of the square of x + 4 and 3 the difference of the squ
    8·1 answer
  • Good guys will pay you $3,800 a year for 10 years in exchange for $31,300 today. what interest rate will you earn on this annuit
    15·1 answer
  • Parallel, Perpendicular<br>Or Neither<br><br>Y = 3x + 1<br>6x - 2y = 10​
    7·1 answer
  • 3x2/6 write two multiplication problems that have the same product
    8·2 answers
  • The ratio of kings to Queens was 4 to 5 if there 16 king how many queens were there
    7·1 answer
  • Using the Slope-Intercept form, find the equation of a line that has a slope of 3 and y - intercept (2)
    13·1 answer
  • 7 x [(7+7) divided 7] =
    5·2 answers
  • Can anyone answer this please?
    7·1 answer
  • suppose we flip a fair coin five times and each time it lands heads up. the probability of landing heads up on the next flip is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!