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tatiyna
2 years ago
11

What is the first step in finding the inverse of a function?

Mathematics
1 answer:
Taya2010 [7]2 years ago
8 0
The first thing you would do is switch the x and y (B).

For example, to find the inverse of y = 2x + 8:

1. Swap x and y
    x = 2y + 8

2. Solve for y (set the equation equal to it):
    x - 8 = 2y
    y = (x - 8) ÷ 2
    f^{-1}(x) = 1/2x - 4
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PLEASE HELP
Korolek [52]

Answer:

v=2 s=5

Step-by-step explanation:

a) v=volleyball s=soccer

s × v = 7

" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v

b) substitute equation for soccer for s

(1 + 2v) + v = 7

solve for v

1 + 3v = 7   (2v + v = 3v; that's where the 3v comes from)

we subtract 1 from both sides

3v = 6

we divide 3 from both sides

v=2

solve for s

since we know what v equals, we substitute it in

s + 2 =7

subtract 2 from both sides

s = 5

5 0
3 years ago
Find the circumference and area of a circle with radius 14m
liubo4ka [24]
Circumference of a circle

C = 2πr

since r = 14 then

C = 2π14

C =28π.

Area of a circle

A = πr²

A = π14²

A = 196π
8 0
3 years ago
Read 2 more answers
Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed ti
barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

P(t)=36800\cdot2^{^\dfrac{t}{25}}

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558

According to the model, the population in Fall River will be 48,558 in the Year 2020.

7 0
3 years ago
Directions: Calculate the percent increase or decrease between the starting and ending
Sveta_85 [38]

I'll do the first two to get you started

===============================================

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

<h3>Answer: 233.3% increase</h3>

===============================================

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

<h3>Answer: 122.2% increase</h3>
7 0
3 years ago
Read 2 more answers
Seven less than one half of x
damaskus [11]

Answer:

X/2-7

Step-by-step explanation:

any number which is said to be less than another number let's say b should be subtracted from b.

7 0
3 years ago
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