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
lbvjy [14]
3 years ago
7

If f(x) and its inverse function, f^-1(x), are both plotted on the same coordinate plane, where is their point of intersection?

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Their point of intersection, assuming there is one, will be somewhere on the line y = x.  This line, y = x, is the line of symmetry between a function and its inverse.  So if the two do in fact intersect, it will be at some point on that line

You might be interested in
What is 9%+278.045 or 278.045+9%
rodikova [14]
The answer to this equation would be 278.135
3 0
3 years ago
The Greek alphabet contains 24 letters. How many fraternity names with Greek letters can be formed if each fraternity name conta
ankoles [38]
For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).

The total number of combinations is thus: 24 x 23 x 22= 12,144
4 0
3 years ago
Read 2 more answers
Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3​
Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

f(x)=x^4-2ax^3+ax^2- x+k

and

f(-1)=3

Answer:

k = -2 and a=1

Step-by-step explanation:

Given

f(x)=x^4-2ax^3+ax^2- x+k

Factor:\ x - 4

f(-1)=3

Required

Find a and k

For f(-1)=3

Substitute -1 for x

f(x)=x^4-2ax^3+ax^2- x+k

f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k

f(-1) = 1 - 2a *-1 + a*1 +1 + k

f(-1) = 1 +2a + a +1 + k

f(-1) = 2 +3a + k

Substitute 3 for f(-1)

3 = 2 +3a + k

Collect Like Terms

3 - 2 = 3a + k

1 = 3a + k

Also:

If x - 2 is a factor, then

f(2) = 0

Substitute 2 for x and 0 for f(x)

f(x)=x^4-2ax^3+ax^2- x+k

0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k

0 = 16 - 2a * 8 + a * 4 - 2 + k

0 = 16 - 16a + 4a - 2 + k

0 = 16 - 12a - 2 + k

Collect Like Terms

2 - 16 = - 12a + k

-14 = k - 12a

k = 12a - 14

Substitute 12a - 14 for k in 1 = 3a + k

1 = 3a + 12a - 14

1 = 15a - 14

Collect Like Terms

15a = 1 + 14

15a = 15

Solve for a

a = \frac{15}{15}

a=1

Substitute 1 for a in k = 12a - 14

k = 12 * 1 - 14

k = 12 - 14

k = -2

3 0
3 years ago
How to simply 4 (2x)^3
Kruka [31]
Remember the order of operations. The first step in this problem will be to solve the exponent. 

Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.

(2x)^3 = 2^3 * x^3 = 8x^3

Now multiply that answer by 4 to finish simplifying.

8x^3 * 4 = 32 x^3 

Your answer should be: 32x^3
3 0
3 years ago
How are functions related to solving linear equations
motikmotik

A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.

8 0
2 years ago
Other questions:
  • Which best approximates the location
    9·2 answers
  • The question is............
    7·1 answer
  • Im confused, not sure how to do this. Please help me it is geometry, specifically perpendicular lines with an equation and a poi
    7·1 answer
  • A 13 foot ladder is leaning against a wall. If the height of the ladder against the wall is 2 feet more than twice the distance
    12·1 answer
  • 10. Amelia is making friendship bracelets for a charity event. She wants to bring at least 623 bracelets to the (2 points)
    12·1 answer
  • How many millimeters are in 1 meter
    11·1 answer
  • The gift wrapping store has 77 inches of ribbon. It takes 8 inches of ribbon to make a bow, how many bows can they make
    14·1 answer
  • Write the linear equation for each graph​
    11·1 answer
  • In the diagram,m&lt;1= (4x+10) and m&lt;2=(c+20) the value of x is
    8·1 answer
  • 7x - 4 and 5x + 4 are the lengths of two of the sides of a rhombus. What is the value of x? If there is not enough information t
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!