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
kaheart [24]
3 years ago
8

Helppp!! I NEED HELP PLEASE

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

You might be interested in
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the vo
spin [16.1K]
Long (cube)=widh (cube)=height (cube)=S (side)

volumue of a cube=side³ ⇒  side=∛volume of a cube.

first box and second box:

side=∛1331 m³=11m

Third box:

side=∛729 m³=9 m.

answer : the height of the first and second box is 11 m, and the height of the third box is 11 m.
4 0
2 years ago
Jenna flipped a coin 375 times. It landed tails up 300 times. What is the experimental probability of a flip resulting in tails
maks197457 [2]

Answer:

375-300=75

Step-by-step explanation:

6 0
2 years ago
Simplify. 6(2y +8) -2(3y -2)​
Advocard [28]

Answer:

6y+52.

Step-by-step explanation:

What you have to do is the Distributive Property and distribute the 6 and -2 into the parenthesis.

6(2y+8)-2(3y-2).

12y+48-6y+4. You will then add or subtract the same together to get.

6y+52 as your answer.

7 0
2 years ago
Read 2 more answers
A sports fan conducted a test to investigate whether male high school athletes are
Serjik [45]

Answer:

B

Step-by-step explanation:

p(x^2>10.65)=0.03

7 0
3 years ago
QUESTION 1
SVEN [57.7K]

Answer:

1)

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

2)

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

\frac{5}{12}-\frac{x-3}{6} \leq  \frac{x-2}{3}

<u>Step 1: Making the denominators common for all fractions</u>

\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}

This step is done correctly in the given solution.

<u>Step 2: Simplifying </u>

\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}

This step is done correctly in the given solution

<u>Step 3: Multiplying both sides by 12, and simplifying.</u>

5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

<u>Step 4: Simplification:</u>

11-2x\leq 4x-8

<u>Step 5: Moving Common terms to one side and simplifying</u>

-2x-4x\leq -8-11\\\\ -6x\leq -19

Error was made in this step. When a number is moved to other side, its sign will be changed.

<u>Step 6: Dividing both sides by -6</u>

x\geq \frac{19}{6}

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0
3 years ago
Read 2 more answers
Other questions:
  • How would you characterize the relationships between the hours spent on homework and the test scores?
    9·1 answer
  • What is 10 times as much as 0.08?
    8·1 answer
  • PlZ, ANSWER I WILL MARK YOU BRAINLIEST AND GIVE YOUR 5 STARS!!!
    5·2 answers
  • The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle.
    5·1 answer
  • Find the measure of
    14·2 answers
  • F(x) = 8x – 3; g(x) = 4x + 5 find (f-g)(x)
    13·1 answer
  • Chen wants to buy a model car and race track with his allowance. He has $30 to spend. The model car costs $8.50, and he will spe
    7·2 answers
  • The graph below have the same shape what is the equation of the blue
    5·1 answer
  • PLEASE HELP I DONT UNDERSTAND IT EXPLAIN YOUR ANSWER THO <br><br><br><br> WOULD IT BE 5
    14·2 answers
  • which of the following lengths cannot be the lengths of a triangle? 4,6,9 a.) 3,4,2 b.) 2,2,3 c.) 1,1,2 d.)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!