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Ipatiy [6.2K]
3 years ago
14

What is the inverse of the function f(x) = 2x + 1?

Mathematics
2 answers:
Lerok [7]3 years ago
8 0

Answer:

1 + 2x = f(x) i believe

Step-by-step explanation:

Natali [406]3 years ago
6 0

Answer:

f^{-1}(x) = \frac{x-1}{2}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x

f^{-1}(x) = \frac{x-1}{2}

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Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial
Effectus [21]

The formula to find the amount is

here A is amount

P is the principal

'r' is the rate of interest

n is the number of years.

Case 1.

Stevan invests

P =$ 20,000

r = 3% = 0.03

n = 10 years

Hence the interest earned

= A - P = 26878.33 - 20000 = $6878.33

Case 2.

Evan invests

P = $10,000

r = 7% = 0.07

n = 7 years

Hence the interest earned

= A - P = 16057.81 - 10000 = 6057.81

Difference in the interest = 6878.33 - 6057.81 = $820.52

Rounded to the nearest dollar difference in interest = $821

6 0
3 years ago
144 8e bölersem sonuç kaç olur?
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Answer:

18

Step-by-step explanation:


3 0
3 years ago
A student uses the method of successive approximations to estimate a positive solution of f(x) = g(x), where f(x) = x2 + 10 and
serious [3.7K]

Answer:

The next number selected should be between 2 and 3 .

Step-by-step explanation:

x. x    f(x)             g(x)

0        10               17

1           11              19

2          14              21

3          19              23

4         26             25

3.5      22.25        24

<u>2.5      16.25         22</u>

1.5       12.25        20

0.5       10.25       18

We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.

So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5

Now it is moving in the reverse direction in the same pattern  with a difference of a unit.

7 0
3 years ago
Y = 3/2x + 5/4 −2x + 8y = −25
Andreyy89

Answer:

<h2>x = -347 1/2</h2>

Step-by-step explanation:

When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.

Step 1: Simplify by combining like terms

y = -x/2 + 5/4 + 8y = -25

Step 2: Substitute

y = -25

-25 = -x/2 + 5/4 + 8(-25)

-25 = -x/2 + 5/4 + -200

-25 = -x/2 - 198 3/4

Step 3: Answer

x = -347 1/2

Step 4: Check

y = 3/2x + 5/4 −2x + 8y = −25

-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)

-25 = -25✔️

Step 5: Verified Answer

x = -347 1/2

I'm always happy to help :)

3 0
3 years ago
Math answer with work cause it need proof ASAP
Viktor [21]

Answer:

[See Below]

Step-by-step explanation:

__________________________

✦ Solve for (1*10)+(4*1)+(7*0.01)+(2*0.001):

__________________________

✦ Solve Parenthesis first:

  • (1*10)=\bold1\bold0
  • (4*1)=\bold4
  • (7*0.01)=\bold0\bold.\bold0\bold7
  • (2*0.001)=\bold0\bold.\bold0\bold0\bold2

__________________________

✦ Add all the values together:

  • 10+4+0.07+0.002=\bold1\bold4\bold.\bold0\bold7\bold2

__________________________

So Mikayla wrote the decimal correctly.

__________________________

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

-Your~ Friendly ~Answerer,~ Shane ☺

5 0
3 years ago
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