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
Rashid [163]
2 years ago
5

The graph of f(x) is shown below.

Mathematics
1 answer:
Simora [160]2 years ago
4 0

The intersection would be at the point (2, 2).

This is because, graphically, the plots of f(x) and its inverse are reflections of one another across the line y = x, and (2, 2) lies on this line.

Put another way, we have f(2) = 2 = f⁻¹(2), so both f(x) and f⁻¹(x) intersect when x = 2.

Put yet another (longer) way, we can find the equation for f(x): it's a line that passes through (0, 6) and (3, 0), so it has slope -6/3 = -2. Then using the point-slope formula,

y - 6 = -2 (x - 0)   ⇒   y = f(x) = -2x + 6

By definition of function inverse, we have

f(f⁻¹(x)) = x

so that with the given definition of f(x), we get

f(f⁻¹(x)) = -2 f⁻¹(x) + 6 = x

-2 f⁻¹(x) = x - 6

f⁻¹(x) = -x/2 + 3

Then we solve for x such that f(x) = f⁻¹(x). We would find x = 2 as before.

You might be interested in
If a medium pizza costs $5 and a large pizza is $8, write an equation in standard form that models the possible combinations of
stealth61 [152]
<span>NEVER use a lower case L as a variable
.
$5M+$8L=$45
.
Medium only:
$5M+$8(0)=$45
$5M=$45
M=9</span>
5 0
3 years ago
How do I write 3 2/3 in a from of a decimal?
Alisiya [41]
3.66666666 but u can round it to the third place 
4 0
3 years ago
Do any of you guys know this please i need helppp!!
Fudgin [204]
The third one
5/6 is the answer
7 0
2 years ago
Read 2 more answers
Guy is pouring a new patio for his house.
Mamont248 [21]

Answer:

Step-by-step explanation:

50 + 12.50h = 143.75....where h = # of hrs

12.50h = 143.75 - 50

12.50h = 93.75

h = 93.75 / 12.50

h = 7.5 (or 7 1/2) hrs <====

3 0
3 years ago
URGENT!! PLEASE HELP!!
mart [117]

Answer: a 68 c57 b55 I think

Step-by-step explanation:

A triangles angles add up too 180 so just subtract the sum and the two angles and you are done.

5 0
3 years ago
Other questions:
  • Solve | − 9 | − | − 4 | =
    9·2 answers
  • Represents the sets with a Venn diagram: U = {1,2,3,4,5,6,7,8,9,10, 11, 12} A = {1,2,3,4,6, 12} B = {1,2,4,8}
    13·1 answer
  • Quick.!! Il pick the brainliest.!! Tha value of x is.?
    15·2 answers
  • Helped needed! 20 points and brainliest of answered right !
    12·1 answer
  • 36.90 as a fraction what dose it equals
    14·2 answers
  • PLEASE HELP ME LINK IS BELOW
    7·2 answers
  • Find the value of x. Please help will mark brainliest
    6·1 answer
  • Kelly got a part time job and had to pay $150 worth of taxes, which was 10% of her monthly payment. How much money did she make
    11·2 answers
  • write a multiplication equation that can help you solve for the division equation 48 ÷ 8 = ________. What is the quotient?
    14·1 answer
  • You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!