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Ivahew [28]
4 years ago
6

Write the inverse function, f^-1 (x), for the function f (x) = 2x + 3

Mathematics
1 answer:
cricket20 [7]4 years ago
6 0

f(x) = 2x + 3

y = 2x + 3

Subtract the sides of the equation minus 3

y - 3 = 2x

Divided the sides of the equation by 2

\frac{y - 3}{2} = x \\

So ;

{f}^{ - 1}(x) =  \frac{x - 3}{2} \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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How can i get the answer to this
kicyunya [14]
I believe it would be 20/15
6 0
3 years ago
Read 2 more answers
Enter your answer and show all the steps that you use to solve this problem.
slamgirl [31]

Answer:

h = -t+20

After 8 hours the candle will be 12 inches

Step-by-step explanation:

We have 2 points (time, inches)

 (3,17)  and (5,15)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (15-17)/(5-3)

   = -2/2

   = -1

We can use point slope form

y-y1 = m(x-x1)

Replace y with h and x with t

h-17 = -1 (t-3)

Distribute

h-17 = -t+3

Add 17 to each side

h-17+17 = -t+3+17

h = -t+20

3 0
3 years ago
8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
4 years ago
Find the value of x in the equation below.<br> 17 = 14 +2
ozzi

Answer:

3

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Two lawn care companies are competing for a landscaping contract. Company A charges a $300 consulting fee plus $7 per square foo
kkurt [141]

The square feet of landscaping will the two companies carry out that enables them to charge the same amount is 30

What is the total of the landscaping contract for each company?

The total cost of the  landscaping contract for each of the two companies is the sum of the fixed consulting fee plus the multiple of variable charge per square foot multiplied by the number of square feet of landscaping

Company A:

Total cost=300+7S

S=square foot

Company B:

Total cost=120+13S

At the point where the square foot are the same they charge the same amount

300+7S=120+13S

300-120=13S-7S

180=6S

S=180/6

S=30 square foot

Find out more about total cost on: brainly.com/question/15686427

#SPJ1

4 0
2 years ago
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