All categories

3 years ago

The range of the function f(x) = x 5 is {7, 9}. what is the function’s domain?

Mathematics

1 answer:

Dmitrij [34]3 years ago

5 0

F(x) = x + 5
x = f(x) - 5
Domain = {7 - 5, 9 - 5} = {2, 4}

You might be interested in

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

4 years ago

Use ratio language to describe the relationship between 2 dogs: 1 cat

GenaCL600 [577]

2:1
..................

8 0

3 years ago

Read 2 more answers

What is the solution of 3+ x-2/x-3<_4

Ymorist [56]

Answer:

x≤2−√6 or 0<x≤2+√6

5 0

4 years ago

A realtor makes a commission of $11,400 on a $190,000 house he sells. What is his commission rate?

Reika [66]

So bassically
his commision rate is
x% times 190000=comission
so x% times 190000=11400
divide both sdies by 190000
x%=11400/190000
solve for x percent
11400/190000=114/1900=3/50
x%=3/50
percent means parts out of 100 so x%=x/100
x/100=3/50
3/50=6/100
x/100=6/100
multiply both sdies by 100
x=6

the commision rate is 6%

4 0

4 years ago

An integer is three more than another integer. Twice the larger integer is two less

Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

3 0

3 years ago