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2 years ago

What is the inverse of f(x)=2x-4

Mathematics

1 answer:

Phantasy [73]2 years ago

4 0

Step-by-step explanation:

Hey there!

The given function is; f(x) = 2x-4.

<u>To find: f'(X) </u>

Let f(X) be y, then;

y = 2x - 4

Interchanging"X" and "y" we get;

x = 2y - 4

or, X+4 = 2y

or, y = (X+4)/ 2

Therefore, f'(X) = (X+4)/2.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

You might be interested in

Find the distance around one-fifth of a circle with diameter of 14 inches

Step2247 [10]

To solve this problem, you will need to know the formula to find the circumference of a circle given the diameter of a circle. After calculating the circumference, you will then divide this result by 5 to obtain the final answer needed for this problem.

<h3>Find the Circumference</h3>

The circumference of a circle is found using the formula C = 2πr.

$C = 2\pi r$

We are given the diameter. The radius can be found using r = D/2.

$\displaystyle r=\frac{D}{2}$

$\displaystyle r=\frac{14}{2}$

$r=7$

Plug in the radius to the formula for a circle's circumference: C = 2πr.

$C = 2 \pi (7)$

Rearrange the equation to distribute the 7 into the 2π.

$C = 7(2\pi)$

Distribute the 7.

$C=14\pi$

<h3>Find One-Fifth of the Distance</h3>

To find one-fifth of the distance (formally termed the circumference) around the circle, divide the circumference by 5.

$\displaystyle \frac{14\pi}{5}$

If you are looking for a simplified answer in terms of π, this will suffice. If you need an exact answer that does not reference π, continue reading.

For a solution not in terms of π, first, multiply 14 by π.

$14\times\pi = 43.98229715$

Divide this value by 5.

$\displaystyle \frac{43.98229715}{5} = 8.7964594$

To make this easier to present, round to the hundredths place.

$8.7964594 \approx 8.80$

The final answer, dependent on the value you are asked to provide, is:

${\boxed{\displaystyle \frac{14\pi}{5} \ \text{inches}}$

$\boxed{\text{approximately} \ 8.8 \ \text{inches}}$

6 0

2 years ago

B/13-3b/13=8/13 help please

OLEGan [10]

$\frac{b}{13}$ - $\frac{3b}{13}$ = $\frac{8}{13}$
Since the two fractions have a common denominator already, we can just subtract the numerators.
b-3b=-2b or -3b+b=-2b
Either way you get the same answer :)
Our new fraction is $\frac{-2b}{13}$
Now we know that this must be equal to $\frac{8}{13}$
Again, since the denominators are already the same of course they are equal. 13=13
Now we have to set the numerators equal
-2b=8
Use inverse operations to get b alone
-2b=8
÷-2 ÷-2
b=-4
If you have any questions, feel free to ask. Hope this helped! :)

5 0

3 years ago

Solve the given equation <br> 7ex – 9 = 10

maria [59]

Answer: x = 10.18

Step-by-step explanation:

7ex – 9 = 10

(x-9)*ln7 = ln 10

x-9 = 2.30/1.95

x = 10.18

3 0

2 years ago

5x2 +14x = 3<br> How do you complete the square

katovenus [111]

If I’m correct negative one half

5 0

3 years ago

Can some one explain in an easy way pls

Helga [31]

What needs to be done first is to add up females and males that have passed.

42 + 14 = 56

so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75

out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

NOW WE ARE DOING FAILS.

15 + 5 = 20

so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75

out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

i hope this helped! :)

7 0

2 years ago

What is the inverse of f(x)=2x-4​

What is the inverse of f(x)=2x-4