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igomit [66]
3 years ago
7

What are the domain and range of f(x) = 4x – 8?

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

Answer:

Option A

Step-by-step explanation:

We have given that : f(x)=4^x-8

To find : domain and range of the function

Solution : The domain of the function is where the function is defined and the given function is defined for all real number

∴ domain: {x | x is a real number}

Now, the range of the function is the set of value that correspond with domain

f(x)=4^x-8   the range correspond to value when  y > -8

∴ range: {y | y > –8}

Therefore, Option A is correct  

domain: {x | x is a real number}; range: {y | y > –8}

   

hjlf3 years ago
5 0
The domain of f(x) = 4x - 8 is all real numbers and the range is all rean numbers.
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3,510



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3,510
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3 years ago
Factor completely x3 – 8
Travka [436]

Answer: (x-2) (x^2 + 2x + 4)

Step-by-step explanation:

x^3 - 8

x^3 - 2^3

(x-2) * (x^2+x * 2 + 2^2)

(x-2) (x^2 + 2x + 4)

3 0
3 years ago
Find the number that makes the ratio equivalent to 2:3.<br> 24: BLANK
Vitek1552 [10]

Answer:

equivalent ratio for this question is

4:6:48

5 0
2 years ago
Read 2 more answers
A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
Which explanation correctly tells whether these ratios are equivalent and why?
Reptile [31]
<h3><u>Answer:</u></h3>

<u>Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.</u>

<h3><u>Step-by-step explanation:</u></h3>

<u>This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.</u>

  • => Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.
  • => Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
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