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dusya [7]
3 years ago
16

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

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
8 0

In order to invert a function, switch y and x in the definition, and solve for y again:

y=2x+1 \mapsto x=2y+1

Solving for y, we have

x=2y+1\iff x-1=2y \iff y=\dfrac{x-1}{2}

astra-53 [7]3 years ago
8 0

Answer:

h(x) =  \frac{1x}{2} -\frac{1}{2}

Step-by-step explanation:

Given  :  f(x)= 2x+1​

To find : what is the inverse of the function .

Solution : We have given

f(x)= 2x+1​

To find the inverse of the function :

Step 1: take y = f(x)

y = 2x + 1

Step 2: interchange the x and y

x = 2y +1.

Step 3: Solve for y

On subtracting both sides by 1

x -1 = 2y.

On dividing both sides by 2

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

We can write

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

Step 4 :  take y = inverse of f(x) = h(x)

h(x) =  \frac{1x}{2} -\frac{1}{2}

Therefore, h(x) =  \frac{1x}{2} -\frac{1}{2}

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On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater
Juliette [100K]

Answer:

Option D: 12\frac{1}{2} is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to 7\frac{1}{2} miles

We will find the unit rate in term of inches.

\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch

Total distance covered by Bonnie according to map;

Total distance = \frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}

Total distance = \frac{5}{4}\ miles

Actual distance = \frac{5}{4}*10 = \frac{25}{2}\ miles \\

Actual distance = 12\frac{1}{2}\ miles

Hence,

Option D: 12\frac{1}{2} is the correct answer.

8 0
3 years ago
mat deposited $2,000.00 in the bank. if the rate of simple interest was 10%, what was the amount of money mat had in the bank af
Mekhanik [1.2K]
Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
                                  = 2000 [ 1 + (10/100) * 5]
                                  = 2000 [ 1 + (1/2)]
                                 = 2000 * (3/2)
                                 = 1000 * 3
                                 = 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00
8 0
3 years ago
13. Mis the midpoint of PR, PM = 2x + 5, and MR = 4x – 7. Solve for x and find PR.
enyata [817]

Add 2x + 5 and 4x - 7

Then you isolate the variable or “get rid of” the numbers that re stopping you from getting “x”.

By doing the inverse operation.

If you add ___ you subtract ____ it form itself

If you subtract ___ you add ____ To itself.

So you Cancel out by getting rid of the other numbers.

Same thing with multiplying and dividing.

If you multiply ____ you divide___ but don’t divide “x”

Only the integer.

If you divide _____ you multiply ____ it

8 0
3 years ago
GIVING BRAINIEST IF CORRECT!!<br> Find the area of the shaded region.
Andreyy89
Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

8 0
2 years ago
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Find the area of the region under the graph of the function f on the interval [1, 8].
nadezda [96]
F(x)=3/x it’s 6x(7) now can I get thanks
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3 years ago
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